it's performance did change at least in the sense that it can carry the rockets without a speed penalty after they are fired, unlike most other FMs, also performance change is not a criteria for this discussion.
it is somewhat "shifty" to deploy a may 1945 aircraft as if it came out in fall 43 or fall winter 43/44 ...
this is hard to sort out, but we should seek equity. however you look at it the ponyD 25 block in game should either be considered a may 1945 plane, or all earliest FMs of a type should be made available when the first models of that type were introduced for fairness sake meaning the 190A5 gets used as if it were the first 190A date wise.
same with any other first FM of a type ...
i wish i could find out why Green thinks jg3 had the d9 in winter 43/44 though, that has bugged me for years.
Performance of the 51 didn't change. The rocket rail equipped 51s appear to have first been used in May 45. I've yet to find any photo evidence of them in the ETO or MTO, just the Iwo Jima Mustangs. There were RAF Mustangs in the MTO with rocket rails similar to the Typhoon earlier then that obviously and they did carry the bazooka rocket tubes earlier as well.
Bookie has an order of battle showing jg2 with d9s in sept 44
Impossible to tell. It is known, however, that at least JG 2 and JG 26 received a full load of new Doras in December 1944 and went to support "Wacht am Rhein" with them. So it's one of several possibilities.