If you find that yourself fumbling with G it might be a good idea to spend some time working on one form and getting it up to snuff… like this exercise https://www.realguitarsuccess.com/lessons/c-g-chords/
I’m thinking possibly 5 minutes a day for about a week kind a thing.
But you are gonna need both of these forms anyway. Sounds like what you’re doing is fine if it’s not creating undue stress.
BTW… we usually call finger “4” the pinky… so the fingering would be either 1, 2 & 3 or 2, 3 & 4. We don’t number the thumb… even though you might use it occasionally.
I understand what you mean anyways. Just wanted you to know.