The final incarnation of the Ta 152 would have featured the big Jumo 222 and a new shorter but larger laminar flow wing. This was abandoned due
to the less problematic Jumo 213 of which the J-version would have reached 2900 HP with MW50 and C3 fuel. Imagine that engine running on Allied high octane 130 or 150 fuel.
The Jumo 222E/F was scheduled for production in 1944/45. It was performing well enough, passing its tests, at 2800hp on B4+MW50 fuel. The decision was that it would be taken of the production schedule if it couldn't reach 3000hp. These kinds of decisions were often taken when allied troops were inside Germany.
The DB603N was rated at about 2800hp but with C3+MW50 and the Jumo 213J I've seen 2600hp. 2700hp and 2900hp presumably also with C3+MW50.
With these sorts of engines offering 20% more power and even more jet thrust the aircraft would be capable of over 500mph (about 505 for a Ta 152 and 515 for a Fw 190D13/R25. (A Cube Root Law suggests 6% speed increase)
The Jumo 222E/F had a very good multispeed multistage supercharger and despite the the rated power levels being about the same the Jumo 222E/F was probably much better at altitude. It may not have made the aircraft faster because it was a physically larger engine.
So, to summarize, the German plan for 1945 was having the Fw 190 A-8/A-9 for dealing with Western bombers, Fw 190D-12/D-13 (and later Ta 152C) to fight Western fighters, and the Fw 190A-10 to deal with VVS fighters at low/medium altitude?
Would have been interesting to know what designs the Germans would have come up with if they had the luxuries of time and resources of the US to deal with the design challenges which all these threats amalgamated into
I think that's how it would have worked out.
Enlarging a wing can't have been a welcome thing from a manufacturing point of view and perhaps that is why the Fw 190A10 didn't progress as fast as the D9, perhaps they used the wing box and wing of the Ta 152C but retained the tail of the Fw 190A or Fw 190D. A wing enlargement had already been carried out b for the Fw 190A6. The A8 and A9 were getting CoG issues developing with the rear tank and extra nose oil cooler armour (A9) or propeller weights (A8) were added. The Liquid cooled variants created a variant a lot faster with excellent high altitude performance.
There was the Ta 152C with BMW801R. The 801R engine incorporated a two stage 4 speed supercharger with intercooling, aftercooling and a variable pitch cooling fan. (Technology from the BMW 802). The engine, work shop was destroyed and the engine program never recovered. It would have been nice to have an engine that didn't loose coolant after 1 hit.
Focke-Wulf and Heinkel was working on ejection seats for the Ta 152 and 190. They got them to the point that the explosive (instead of compressed air) seat was only 19kg heavier than a normal seat. (In volume three of Smith and Creek) so that would have been added.
The latest versions of the Fw190/Ta152 would be the final German piston engine fighters. Jets would be the replacements. The most advanced possible German fighter that i can imagine would be
D series fuselage, integrated engine cowling
Ta152 tail with the enlarged control surfaces
Ta 152C wings, (21m2 ), with boosted ailerons and bag type fuel tanks, deformation at high speeds turns deleted
Armament 3x20mm, r4m rockets,
Engines jumo213j or db603n
Such and aircraft would be pretty close to the latest western fighters. But it would still have the obsolete wing profile of the originally Fw190( with minor modifications)
I doubt the NACA 5 series wings were a serious impediment to level speed, the profile is still quite good today. I also suspect the Ta 152C didn't have the aeroelastic issues of the Fw 190. I think some software war game writer added that into his simulation by extrapolation I've never seen a report of it. The Ta 152H certainly didn't have it and Focke-Wulf understood it.
Nevertheless the Germans knew of laminar wings and they were used on the BV 155 and I believe the Me 309. Laminar type wings proposed for Do 335 and Ta 152. Probably not worth developing for so little gain in the case of the Ta 152