I don't agree with a lot of what you say, to be honest, but this sums it up exactly.
We are definitely in a better position (table-wise) than when Allardyce arrived and I think the board will look at that first and foremost. But the margin between us and the bottom is getting smaller, while we seem to be getting further away from the top 6. If Allardyce doesn't work out - and it increasingly appears he isn't going to - the board needs to make sure they take the time to identify the best and most realistic target to take us forward in the long-term.
I appreciate the olive branch but I suspect we're still in disagreement, broadly speaking. I don't think the plan was ever to keep Allardyce beyond this season. I don't have an overwhelming body of evidence to support that. It's more intuition.
I think Moshiri is and was holding his nose, while appointing Allardyce, viewing it as a necessary evil in the short term. If that is the case, I disagree with him but I can understand it.