I’m going with a 3 layer system.
1 large outer mitten shell - really anything waterproof with finger access.
2 basic gloves - pgytech winter gloves.
3 thin liner gloves - something comfy and electronic touch.

The idea is that if you need all 3 to stay warm you can and still have touch screen or go down to your base layer for dexterity. But then based on the weather you can set up to either 1, 2, 3, 1/3, 2/3, 1/2/3.

Aside from gloves designed for photography, maybe look into sailing gloves. Most sailing gloves are designed to be close fitting for pulling lines/ropes/sheets. You can find them in different weights for different environments. Look for them on stores that specialize in sailing supplies

ProMaster has a line with fingertip fold downs. I’ve had mixed results with them so far; leaning positive but not overwhelmingly so yet.

I have super thing north face gloves. They are the best and can’t feel the cold no matter hap bad. I hgebfull control over the small buttons on my camera too!

I use snowboarding gloves, the individual fingers type and not the mitten type. They are warm and allow for control (also somehow work on my camera touch screen). The brand i use is called roxy, i first got the for driving a car, but they are good for photography too. Those have been warm enough for pretty much any weather that the camera battery can stand. Wrist bands on the gloves are a big bonus as that way they don’t fall if i need to take them off for some reason

Get a couple of rechargeable hand warmers. I have two in my camera bag. Wonderful invention!

Vallerret is an entire company dedicated explicitly to what you’ve described. They only make photography gloves.