The answer is

There is a spot for Arsenal (or whomever the EL champion is, which is a group stage Pot 1 place), that is not tied to anyone else in the competition.

If they win, no one will be out. If Chelsea wins, they will occupy two spots, so people will move up. The same will happen with the UCL. If Spurs win, they get a group stage pot 1 spot, versus their 4th place group spot. People will move up (but no one new will be added). If Liverpool win, they already have a group stage spot, but will move to pot 1, and others will move up (neither Liverpool or Tottenham can hold two group stage spots)

But no matter what happens today and in the UCL final, no one will be bumped from the competition. No one will be added either. Just movement among the group/qualifying rounds.