I have created a test schema since I received a late response that I might be short circuiting my own push-pull setup in this post Offsetting Op-Amp output offset in combination with charge pump. It puzzled me whether that could be the reason for some longer transition times in that circuit, but moreover: I just could not answer the question whether there is a short circuit or not. So this question is more a 'back to basics'.
In my test I have a 0 to 6V square wave, driving a transistor to +6V and one to -6V in what I believe to be a textbook example that an answerer to my previous post learned me to understand. But in all honesty: I have just ordered a textbook to validate this.
When I simulate this I indeed get something that I fear is a shortcut by both M6 and M2 switched on at the same time during every transition. Is this the case indeed? If so, why is it not the same with both transitions given that the circuit is quite symmetrical? Also, is this really 1A in reality if the power supplies can source this (it was 4A even in the simulation of my original circuit)? Am I just doing it plain wrong? Thanks!