Back to the V-1710, wasn't the BoB fought at altitudes more fitted to its capabilities?
While no small matter, the Allison shortcoming was super/turbo charging. Sadly, this was a matter of will rather than technology. With no Merlin, it would have been entirely feasible to expedite a high altitude Allison much earlier.
Unfortunately you can have all the will in the world but if you don't have the technology to back it up you aren't going very far.
While the bombers may have been coming in at 15-18,000ft the 109s were often coming in much higher. Getting bounced from above is NOT a good way to intercept bombers.
The world in general didn't have very good superchargers in early-mid 30s because the fuel in use (80-87) simple wouldn't tolerate very high boost pressures. In the US ALL superchargers were designed by ONE company (General Electric) until around 1936-37 when both P W and Wright, getting fed up with the GE supplied designs
STARTED working on their own. It took several years for this to start to pay off. Allison had been making parts of GE superchargers under sub-contract as part of their engine related work, they sure weren't making ANY money on the V-1710 until 1939.
A small part of Hookers claim to fame was not only did he design the Merlin XX/45 and 60/61 superchargers but he discovered that some of the basic formulas for supercharger design were WRONG in the text books. While somebody else might have discovered it with no Merlin and no Hooker it it going to take a lot more than a snap of the fingers to "expedite a high altitude Allison much earlier".
Rolls Royce made about 1/2 the number of "R" racing engines during the 30s as Allison made V-1710s from 1930 to Jan 1939 let alone other engines.
The Allison was a good basic engine but the Allison company didn't have the number of people or the experience to do much more than they did.
Lets all remember that there were ONLY TWO companies beside Allison to get a two stage mechanically supercharged engine into large scale production ( at least several hundred made) during WW II, Rolls Royce and P&W. Bristol didn't do it, Napier didn't do it, Wright didn't didn't do it, Daimler Benz didn't do it and neither did Junkers or BMW. No Japanese company did it. No Italian company.
No will or it isn't quite as easy as it seems?