Doming or bridging to me is the same thing. No atmospheric air is getting to the pond surface in either scenario; only air that is getting there is what goes thru the compressor. The snow bridge could ice over on the bottom side like the inside of an igloo does and there is your ice dome.

I still believe getting diffusers to work in an area large enough to prevent snow from bridging will help a lot. Even if not running them at night causes the pond to ice over and snow to fall on top of the ice, once that ice melts in a large enough area the snow should then fall into the open water, opening up that area to the atmosphere and to the sun.

Sun getting to the water in the winter helps create O2 also by getting sunlight to phytoplankton and any plants that might be alive.
3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).