Profile of rofltehcat

Cover provided by vehicles is a good idea in theory but the infantry don't follow it if it drives away just a few meters or so and will end up standing in open or even negative cover because of it. Plus the small movements needed for many vehicles to aim their guns at something means that your infantry will jump away a lot and lose a lot of potential firing time.

It may be fun in the campaign or so but in multiplayer using it doesn't really make sense. Furthermore, you will want to have your vehicles behind your infantry most of the time so they can move back quickly and aren't in AT Grenade/Panzerfaust range.

If they'd stick to it, they'd get less damage/hits from weapons on the other side of the tank. Green cover is no longer as common as in CoH1, so in theory vehicles as cover could be a good thing if you don't want to keep your vehicles in the back but it simply doesn't work very well.

I sometimes think that suppression resistance/recovery from CoH1 should be implemented again. Different infantry types could take different amounts of suppression and recovered at differing speeds from it (compare coh-stats).
Currently, all infantry no matter their armor or veterancy can take the same amount of suppression and recover from it at the same rate.
At least it looks like that both from game experience as well as the stats I found. Unless armor has some hidden effect on it that I do not know of, but I don't think so. Though this might unbalance other factors and Shocks already have smoke grenades... but at least veteran units should probably be tougher to suppress.

Then there could be a suppression resistance/recovery bulletin that would allow your infantry to maybe take one burst more to negate this bulleting or, if the German player does not use the suppression bulletin, to go from suppressed to pinned in one burst more (easier frontal assault with multiple squads, allows for longer time to molotov) and to recover from suppression quicker once the mg switches targets (allowing for additional molotov/gunfire if the German player is shooting something else or allowing for a flank if the German player switched positions).

Well, that is one of the reasons bulletins are bad: You either farm them or it is really down to a lot of luck. Plus this is a perfect exampl how this can unbalance the game: one faction has to repeat something very unlikely 5 times and the other faction can just start a bot game and run in circles to get theirs... or just play until you used Ooorah enough times, you basically get it automatically. So unless you farm it, the other faction can have a noticeable edge.

Best way imo to get the +4% damage bulletin (kinda mandatory to negate conscripts health increase) is to do a 1v1 GerVSGer with a friend and suicide Pschreck PGrens until you have 4 or 5 on your Grenadier squads. Then send in Elefants (don't deal much infantry damage) and make them attack ground so your buddy can kill them...
you can also save a game just before you destroy one, then load this up 4 times. Though I think only single player matches may be saved... not sure.

If you have explosive weapons, using Attack Ground on them may work but I'm not sure. This needs to be fixed for sure, though. I still don't understand how they could reproduce such a mistake (ghost tank traps).

Yes that is how it works afaik:
Penetration of attacker / Armor of defender = chance to penetrate
If it doesn't penetrate, it still deals (less?) damage but there is no gun/engine damage.