I can't tell exactly from the pics, but it's a JVC of some description (great choice) so you should be able to zoom/shift electronically? On some models you can set up profiles for these settings so you'd have a 16:9 profile and a 2.35:1 profile (and a 1.85:1 and 2.40:1 profile if you want to go full nerd). I think some newer models can actually do content detection and change profiles accordingly aswell (or maybe this is only Panasonics?).
Be careful when setting up the profiles because all it does is record your zoom/shifting like a macro. So if you take a million steps to get it just right back and forth it will reproduce all that jiggery. At least this is how it used to be, I've not used a current model but had an X3.
Yes you can save profiles and have it go between the two, and it zooms in/out shifts around - it doesn't seem too logical so possibly was recalling the steps I took

Calibration continues tomorrow, so will think on that.