This is becoming a circular debate, but we don’t know what constraints the managers are under any more than we don’t know what goes on in board meetings. Given what happened to Jose, it’s not a leap of logic to think Conte might have been given a mandate to prioritise top 4 over the FA cup for example.
Every manager has to work under constraints in one form or the another, i don't see how that changes what has been said. We can judge performance of managers based on what we see them do week in week out - we still see their performance play out in front of our eyes and don't only judge them on the end result.