Let's say the full moon has an apparent magnitude of -12.50 (0.3 lux), and the theoretical max eclipse @ +4 magnitude (5 * 10^-8 lux)
That's 16.5 stellar magnitudes difference, with a range of say -3 Exposure Values to -25.5 Exposure Values = 22 1/2 stops
On my camera I can get 7 of those stops by changing from ISO 100 to 12800, 4 more by opening up from f/11 to f/2.8, and four more by going from shutter 1/60 to 1/4
So If I start the full moon fully exposed at f/11, 1/60", ISO 100, I will be at f/2.8, 1/4", ISO 12800, and only be 7.5 stops underexposed at mid-eclipse. Those are shutters which might make sense for my 300mm lens. With a wider angle lens (how you'd probably photograph the lapse) you can open the shutter even longer.
This morning's eclipse from my location had a Danjon lunar luminosity of L=3 (brick-red with yellow rim), with L=0 being a perfectly near-invisible eclipsed moon. I didn't need the last ~5 stops of exposure boost.