The evidence is purely anecdotal, namely conversations at coffee hour after liturgy, but the reviews I have been getting are decidedly mixed. Most, at least among those who care or pay any attention, approve of things like his preference for the title of “Bishop of Rome.” Others are concerned that he is squishy on some important doctrinal points where Orthodox and Catholics have tended to line up together.
If I had to guess, this is what I would think you'd find among the Orthodox.