I think it should depend on whether the annexation of territory was full (the whole state) and also if it were peaceful. Should get a percentage of supplies and equipment but not troops in most circumstances. Annexation of Austria was full and peaceful (enough for gameplay) and so Germany should get everything, whereas Sudetenland shouldnt get the soldiers, since theyre sworn to the Czechoslovak armed forces and would likely be of slavic culture anyway.
Vichy France was a kind of middle ground in that the new government supported the Nazi regime (to some degree) and so perhaps equipment stored in the south (places where fighting never occurred) would transfer to Germany, and perhaps its armed forces too. This is easy enough since its an event that forms Vichy France, and not a normal annexation of territory in the engine as for calling for peace would give
Vichy France was a kind of middle ground in that the new government supported the Nazi regime (to some degree) and so perhaps equipment stored in the south (places where fighting never occurred) would transfer to Germany, and perhaps its armed forces too. This is easy enough since its an event that forms Vichy France, and not a normal annexation of territory in the engine as for calling for peace would give