I know you and I have opposing views on this, but I see Mykolenko as one of three major weaknesses last season's Everton side had in possession (Doucoure and Beto being the other two).
I know you've focused on assists there and you do have a point about the Dyche vs Moyes bit, but my eyes don't tell me he's suddenly better with the ball - just that he's further forward.
I hate to be a stat geek, but since you mentioned the assists bit I'd draw your attention to this...
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This is how he fares in some basic metrics vs other full backs in the top 5 European leagues - in other words, he's a below average full back in terms of what he does with the ball. Now, I'm all for relying on what my eyes tell me, but I'd argue that these stats are just backing up what I already thought.