Your stance at the moment is driven by the fact that Everton can't compete at the European level pretty much under any setup.
That's just an unfortunate consequence of how football progressed over the last century. No reversing that. But the proposal above distributes more money across leagues and to leagues outside the top 5. How you get to the top of your league to get in on this pie is Everton's problem.
No my argument is I don't want teams playing in the same league as my team with vastly different resources due to guaranteed income from other competitions. It's simply unfair and makes a mockery of the competition aspect of the game. That goes for all European football however if these teams were allowed to stay then this would obviously be 10 times worse.
If that means Everton no longer plays in the top European league then fair enough - Everton only got into the European Cup once in my lifetime and Liverpool's ban meant we couldn't even compete. I've long since given up any desire to get into the CL and get whipped by the big European clubs but I would love to see us compete for domestic trophies again and for that to happen I don't want European competition money to skew our league and that would go the same for any new European Cup for the domestic clubs even if we were winning them.
Let UEFA keep the money and distribute it among grass roots or even charity. It will make no difference to us as fans because we will now no longer need to try and keep up with the big European giants in terms of wages.