So, in your point of view, the 605 series did not have potential to increase power by 10-15% compared to current service ratings, ie. you say it would be
impossible and/or
unlikely? Because of what,
exactly...? Any particular reason on your mind why DB could not pull off a planned development that occured in a similar timeframe between V-1650-7 and -9 series? (apart from the calandar showing April 1945 of course

)
There are basically two ways to get from 2000hp to 2300hp (15% increase). One is to increase the rpm 15% And keep the boost the same ( assuming the supercharger can actually supply 15% more air. )
Problems with this is that a, the internal friction goes up with the square of the speed so a 15 increase in RPM causes about 32% more friction so you don't quite get 15% net horsepower gain (although the cooling load has gone up 15%). b, the stress on the reciprocating parts has gone up a similar 32% as well as stress on crankshaft and crankcase. Maybe they can stand it and maybe they can't or maybe they can stand it for a short while ( shorter time between overhauls?) If the strength was there to begin with the engine was probably over weight for 1475hp. DB 605 is already running at 2940fpm piston speed and very few successful engine ran faster ( Jumo 213 and Bristol Pegasus)Please note the weight jump from the 2400rpm DB 601 to the 2800rpm 605, not all is due to stronger parts I am sure but some is. This method does have the advantage of not requiring "super fuels" or at leas t not to the extent of method 2.
2nd way is to increase the boost, cram more air into the cylinder each time it fires. This is the way many engine designers went. It does increase the peak and average pressures inside the cylinder and
can require stronger construction. (A bit more on that later). This one is
very fuel dependent. If you don't have super fuels it doesn't work. 15% more than 1.98 AtA is 2.32 AtA to go from 2000hp to 2300hp. This pressure is possible, it was used by allied aircraft. Late war German fuel was close and
might have permitted it. again this is net power, you do have to add in the power needed to drive the supercharger ot the higher boost/airflow. and the engine has to be strong enough to handle the
total power made in the cylinders.
as far as the V-1650-7 and -9 series goes there was a lot more going on than just adding ADI. the -9 got stronger basic casting for the crankcase, it got the end to end oil crankshaft. Not only was oil distribution better but the elimination of oil holes and groves in plain bearings meant there was more net bearing area for the same sized bearings. The -9 engine was essentially a Merlin 100/110 and not just a Merlin 61/66 with ADI.
Maybe DB could have pulled it off. It depends on fuel, materials for the engine, lubrication and so on.
What would prevent running the 605L series at 1.75ata, the same boost as the service AM series but with a two stage supercharger and ADI as intercooler, ie. a different supercharger setting running at modest boost levels (ie. ca + 7 lbs) ? Some unknown issue with such powers at altitude - or roughly the same powers that were already achievable with NO2 injection in service?
The trouble with replacing N2O from a power output stand point is that the extra air (oxygen) that is supporting the higher power level is "free" from the engines stand point. The plane has to carry the weight and bulk of the N2O set up. Engines make two different powers that concern us, one is net power to the propeller or brake horsepower ( can be measured on a brake or dynamometer) the other is indicated horsepower ( also a number of names) but it is the power actually developed in the cylinders. The net or brake horsepower is what is left after you take out the friction, the pumps, and the power to drive the supercharger. The N2O system provides extra oxygen to burn without the engine having to pay (use) power to drive a supercharger to compress that much air. A second or auxiliary stage can take several hundred horsepower to run. One text book from WW II shows a "theoretical" supercharger of 65% efficiency needing about 175 hp to deliver 1200hp worth of air to it's outlet (intake of the next stage) at
sea level pressure. the supercharger has also raised the temperature of the intake air from -48 degrees F to +200 degrees F. Now your inter cooler or ADI (or both) can help lower the temperature of the intake air, your second stage can boost the 1 AtA air to 1.8 rather easily but the total power needed in the cylinders may be 1575 hp for 1200hp to the prop. (100 for friction/pumps, 100 for the 2nd stage or engine supercharger and 175 hp for the 1st stage or auxiliary supercharger.
The use of N2O allows an engine of 1400hp or so in the cylinders to give 1200hp to the propeller.
The engine with the two stage supercharger has to be built strong enough to stand up to the total power developed in the cylinders. It can be done, it was done but it is not simple.
Such claims about lack of potential are even more difficult to believe when one considers that DB was already running race db 601 series engines at 2700 HP in 1939, already proving the potential.
It rather depends on the life of the engine ( most aircraft engines could be run at much higher than normal powers for short periods of time, experimenters got over 900hp from a 550-600hp P&W R-1340 Wasp engine in 1933/34 with 100 octane fuel)
and it depends on the fuel. I believe the race DB engine was running on a blend of fuel with a lot of alcohol ? It may show the engine won't instantly self destruct at such power levels and thus show "potential" but turning it into usable aircraft power may be another story. Alcohol needs less air per pound to burn on a Btu basis ( 1 pound of air will give more btus burning with alcohol than with gasoline), some alcohols are about equal to 114 octane for knock rating, and alcohol has a much high latent heat of vaporization than gasoline ( it sucks up more heat per pound of liquid) helping cool both the intake charge and the engine.
The R R type "R" racing engine was good for 2,783 hp (2,075 kW) at 3,400 rpm for "sprint" racing but R R never used the "potential" of this engine for a service engine or aircraft.