Are your photos showing the bike exactly level? It looks tilted down in the front.

I have my Campagnolo hoods level with the bars like your new fitting shows. But, my bars have much more drop than yours, and I still have the tops of the bars angled up slightly instead of horizontal. With your higher bars, I would try tilting them up even more.

( I did a self fitting to the bars. I barely tightened the bars so I could swivel them while on the bike. I sat on the bike in a doorway, waving my arm around to get my hands in a relaxed neutral postion, then bringing the hands down to the bars and tilting the bars to line up the hoods with my natural hand angle.)

"hook your finger behind the bar" : wow.