Not sure if what I've found is by design, but I've found an example of a difference in the formations available when generating a Battle compared to either a Long or regular Campaign. In particular, with all other factors equal and dates that would be inclusive of the equipment desired, the option for a "Hubschrauber" is present for both Campaigns in the "Misc" category, but not for a Battle.
I stumbled on this when throwing together a mad scientist's Kampfgruppe to test play some of the unusual late/post war weapons like the Maus, Sturmtiger, X-7 Lenkwaffe, Hubschrauber, etc.
I'm playing v2.0-DL. I have not found any other examples, but given all the permutations of nations and formations, I haven't put my life on hold to check in depth either
Thanks, Ross