I have no doubt you are right, but, Chelsea certainly don't want him and I think they would be delighted to see him off the payroll.Barkley has 2 years left on his Chelsea contract and is on a reported 130k a week. There is no chance of him going anywhere for a 12 month contract on a reasonable wage. I think you can are safe in that he will not be joining Everton.
Barkley has no future at Chelsea and at 130k per week has little chance of getting another club if he insists on earning that kind of money.
He can sit on his contract but he is still only 27 and I assume that he still has ambitions in the game.
I have no idea if we have any interest in him, I expect the manager doesn't but if Barkley wants to play football and Chelsea want rid of him then some club could pick him up for relatively speaking small money.
The question then remains what player are you getting, what can he bring to a club?