Gilesy
Inspired
For what it's worth, that bridge still looks like it's angled too far forward to me.
Standard setup would have the baseplate parallel to the top of the guitar body.
Also, another thing to mention is that aside from tightening the claw, you can also gradually detune all the strings. The tension will "re-balance" and the trem will lower and the pitch will go up as you work thru them - it's an interesting balancing act
What I suspect may have happened was based on you taking all the strings off.
If you then put on strings one at a time and tuned to pitch this tilt change can happen.
That's one reason to change strings one at a time OR shim/block the bridge if you're going to do all of them.
Note that picture 1 is before, picture 2 is after....it is MUCH flatter to the body, although not flat as you suggest.
I will look again (will be tomorrow again, sadly, as have another 200 emails to clear tonight #living the dream) - your point about snipping all the strings at once causing this is the likely culprit. I didn't have any snips before so unwound them all gradually and took them off manually. Lesson learned.