That feels very plausibleRegarding the 53-man roster, he has final say in any disagreement with Mayo. There are other ways one could parse the text, but I think that is the most commonsense straightforward reading.
Regarding the bolded part, it's just worth flagging that we don't know for sure if this has been the case
I mean, we all talk like Wolf is the one who's been picking the groceries, but we don't actually know if he is
...
Edit: Partly just to follow the logic a little further down this road... if Wolf is picking the groceries why does the team not refer to him as the General Manager? Why do they go out of their way to make a point of how they don't have a General Manager when they describe Wolf's position? What do people broadly assume a General Manager does that Wolf is not authorized/empowered to do, and which they're alluding to by making this point?