I think that depends entirely on how things are resolved.
It's now my opinion(and purely my opinion) that the Allam's probably regret suspending Nick and if both parties can find a way out of this mess then he'll be re-instated. That being the case, I don't think anything will be officially confirmed one way or another, at least until Barmby writes a book some years down the line(should he choose to do so).
If things are not resolved, if the Allam's decide they don't want Nick back, or if Nick decides he can no longer work for them, then I think things will be revealed fairly soon and I'm sure things will come out that Papa Doc would rather didn't come out.
Firstly, the Allam's need to tell Nick they want him back, Nick then has to decide if he wants to come back. He remains completely gutted by recent events and I suspect his desire to manage Hull City would overrule his disappointment with what's gone on over the past week, but that's just my opinion.
Things with AP seem rather more complicated, I've no information on what's happened, but they're definitely more pissed off with him than Nick.