I don’t fully see it as a case that Allardyce going = the club have no ambition to get promoted.
Allardyce and Albion will have the same aim of an immediate return to the premier league, but while the board need to also factor in planning for the 2022/23 season (in the event of us falling short), Allardyce will know that failure to get up next season probably means he leaves, so the decisions he may favour could well be very short termist.
Palace for instance are probably going to release a handful of players who have been the bedrock of their side in recent years - players there under Allardyce’s reign. Allardyce might look at Townsend, McCarthey, Schlupp, Van Aanholt, Cahill and Kelly and say they have it in them to still be very effective at a top championship side next year. They are all getting towards the twilight of their careers and will want significant wages, but Allardyce will ultimately only really care about next season - **** or bust.
The club on the other hand might need to consider if it is right to lay all of their eggs in one basket and gamble on next season at the detriment of having a decent chance in the second season, should it be needed. They might want to invest in younger players again who will still play a part the year after.
It’s hard to predict what Allardyce will want, but there is an entirely possible scenario that the money will be there for players to the level Allardyce would want, but maybe not the level of control.