Koeman isn't a 'Dutch Moyes' because he's actually won things, trophies in other countries.
As for Barkley, he's been rubbish for most of the season. His upturn in form coincided with Schneiderlin signing and Barkley playing in front of him. When Schneiderlin doesn't play, Barkley reverts back to being ineffective.
Barkley has 14 days left to sign a new contract before he gets sold. He's clearly calling Everton's bluff and wants to see what options are open to him this summer.
Personally I think we should call *his* bluff and just sell him. We can sign someone better than him, and for a so-called Blue he doesn't exactly appear desperate to stay, otherwise he'd have signed that new contract straight away. Others don't have any dramas doing so, such as Coleman and Baines.