Just by my common sense (given that I have some) I'd say that from 1 cm to 2 cm there is a high transfer: if I'm able to hang on 1 cm I'm probably able to hang on 2 cm.
The big difference in transfer is between crimp and open hand. I train both.
On the Eva Lopez topic I think there is a lot of discussion about how gains on bigger edges transfer on smaller ones.
In the last months I started using mainly the 3 fingers slot for training front3 open handed; and the middle incut rung for back3 (focusing on keeping a half crimp and not dragging); also, I use the middle incut rung with all four fingers half crimped and some added weight.
I don't think that I've gone backwards on small holds. In fact, I have recently climbed some problems, on my board, involving small crimps. But of course I've been doing lots of other training besides BM deadhangs, in particular system training on pinches, other kinds of deadhangs and bouldering.
So I fear that basically this post is absolutely useless for you. I hope it isn't though.