Yep. I would expect that everybody who has processed with Ethanol has at some point looked at a press and wondered if it was the correct solution. Many will have tried it. Some have even gone to the trouble of sourcing presses and selling them into this industry
eg see: Industrial Filtration Equipment Q&A - #7 by SamboCreeck.com
You have also understood the (perceived?) issue with presses.
Just like wine makers value the free flow juice over the pressed juice, the majority of folks processing with ethanol seem to equate “pressed” with additional ballast (unwanteds).
I tried a tincture press once upon time, and it did get me more solvent back. but the process as I took it over involved days long, room temp incubations, so I can’t actually verify that a press yields greener extracts.
it really depends on your scale and desired end-points. if you’re making RSO for granny, or to get your buddies shitfaced, then it’s yield not shelf appeal you’re after, and a tincture press might get you ~5% extra. If you’re looking for an EHO shatter, for commercial purposes, you’ll want to go with a 'fuge.
Making distillate? could go either way. press is usually the cheaper approach. which means you’re up and running sooner, which can make all the difference.