V1 - wrong representation of usage, yet the thing is authentical
Bergitiger - authentical usage (engi vehicle) put into a gameplay mechanic
Luft - wrong time period, yet authentical representation.
V1 - Well... Its a story of its own.
Bergetiger - pure fantasy unit based on a bad misidentification. The "Bergetiger" was most likely a "Ladungsträger" - an armored demolition charge transport vehicle. The Bergetiger was spotted in Italy. Both Tiger units in Italy were reinforced by demolition units (Funklenk-Kompanien). The demolition units should bring in heavy explosives to clear minefields or to destroy obstacles. The demolition placing vehicles should offer some armored protection. The Tiger is most likely the creation of one of these units to get an heavy armored vehicle to place demolition charges in positions were unarmored units cant operate e.g. pioneers when they try to clean fields or positions of not exploded ammunition.
Luftwaffe - Unlike many misconceptions the Luftwaffe was active in battle until the last day of war. And against all "cliches" the Ju87 saw combat in the west until the very end. Sure. The remaining StuKas were moved to night harassment units but at the end they were still in service. Same story for the bombers (Bombing of Eindhoven or Bastogne) and other elements.
And thats the point, there are churchills with the same gun as BP which were actually used. And no-one against UKF having them with the same stats which are planned fro BP. Its the not performance\role of BP what is a problem, its the vehicle itself.
First; As far as i know the "BP" was the only 17pdr armed "Churchill". The "best" gun version would be the Churchill 6pdr version with the famous british sabot rounds. The rounds were deadly enough for most german tanks (e.g. the could penetrate a Jagdpanther at the gun mantlet). By calibre the QF 75mm would be "better" but as far as i know they didnt have sabot rounds for the Cromwell/Churchill 75mm. The Churchill NA75 used the "short 75mm" Sherman gun so it could deal with tanks too but by all 3 types the 6pdr version would be the best "armor killer" in the Churchill arsenal - by pure paper stats and when thinking only of the hard factors.
Black Prince on the other neither authentical nor wrongly represented nor using wrong time period. If we count game to be set in WW2, Black Prince is simply out of scope of this time period. Adding it to the game is pure fiction, without any redeeming justification for it to exist.
Just to throw in my opinion:
For me i have a simple rule:
I can accept any weapon or vehicle in a ww2 "CoH" like game that saw active combat service at the frontline (and the combat service was no "accident" - before someone is starting to talk about the Maus combat engagement at Kummersdorf against the soviet forces xD).
So i can see why Relic is adding the "BP" (or "fake BP" here) because they want a Tiger killer and that is easy to do with the paper stats of the BP.
BUT i would welcome any change. I would prefer a Churchill version. I could accept a version that didnt served in the italian theater but i would prefer a "historical" replacement.
So that is my point of view
And for the Sturmtiger faction here;
They saw a number of battles but many battles were forgotten. E.g. the dash of the Hochwaldbresche at the Reichswald near Goch was one of the engagements that saw combat deployment of Sturmtigers but that is forgotten or not mentioned by many Sturmtiger articles.
At the end the Sturmtiger was the typical result of the german army doctrine of the ww2:
It is better to have a small number of highly special vehicles/weapons for a special job instate of having no vehicle/weapon at all. That was the typical doctrine and the reason why the Wehrmacht invested in a number of small scale productions runs for some special weapons.