Nasty film/scum
You're right about the water levels not being very much different. Right now the fuge is about half an inch lower than the display, and sump half an inch lower than fuge (one inch lower than display)
That all sounds like it could work, the only issue is that when I filled the aquarium, it filled all three compartments to the same level, then once everything was running for a while it went to the levels I stated above.
Because of this I'm not sure that I could just lower the levels in one, as they'd all adjust. Maybe though if I sealed that hole like you mentioned, it'd not self level.
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This morning I lowered the water level in the whole tank slightly, so now the water level in the fuge is just barely lower than the bottom openings of the teeth, and as the water falls in it's creating bubbles. I'm not seeing much of a film, if at all, but the majority of bubbles aren't popping so I'm assuming it's still at least somewhat there.
If this doesn't help remove or alleviate the issue I'll try both suggestions listed above, starting with rocketengineer's as it's much less drastic.