I think your are clutching at straws.
I don't think so. I agree with him (partly), think I said it earlier in some thread here too.
I don't agree he's playing him ahead of Moreno to get him in the team, he's playing him ahead of Moreno simply because he's the better option for the team right now. Moreno needed taking out of the firing line. And the problem for Moreno now is that Milner is doing a great job, and looks a far better fit for the team than him.
But I do think Kloppo is very happy with being able to have Milner in the team week in week out, and therefor isn't in as much of a rush as everyone else was to get another left back in. He'll get one in when he finds the right one of course, but for now, this works well - he gets a player he clearly trusts in the team, a player who'd struggle to get games in his more favoured positions these days.