Agree, but they could well be in the UEFA cup places or thereabouts. Leicester, Wolves, Everton maybe to join the two of the 'big 6' that don't make top 4
The FA Cup winner has always had a European place. There’s only 1 place for the league for 5th place, same as it’s been for beards, the other 2 go to FA Cup and League cup winners. The reason the places often go to lower league placings is when the cup winners are top 5 finishers.