I think this is a very fair and reasoned analysis.
I was not in full panic mode either but my main concern was that another 2 or 3 defeats after Southampton, would just have contributed more to a sense amongst the players and the whole club that things were out of control, and would begin to resemble a runaway train heading to the cliffs. I just didn't want us to be heading into a hectic Christmas period badly needing points. Sam has done brilliantly to avoid that scenario, though I do think it is poor form of him to claim credit for the West Ham result. The players would have undoubtedly responded to his appointment, but credit for that result goes entirely to Unsworth as far as I see it. He took criticism when warranted, so deserves plaudits too by the same standard.
It's somewhat of a game of high stakes poker - absolutely nobody could predict with certainty that we would recover under a new manager, Sam or someone else, let alone do so quickly. I'm glad that Moshiri acted as and when he did - he should have done it sooner.