I used to shoot a glove, but changed to a tab because I shot better with it and liked how easy it was to flip around my finger to get out of the way.
I tried the Bateman with the elastic loop. It didn't' have as much finger protection as I like. It would fly off my hand. I had to adjust how I shot to keep it on. It curled up so the string would try and pull it off. That caused me finger and shot problems when I did what I had to in order to shoot and keep it on. If I tried one again I would be the leather finger hole style.
I shot BW tabs for a long time. Super leather is really durable and the kind of finger protection I like, but same strap and problems as the Bateman I had. The calf hair was slicker, but not as much padding. It stayed on my hand better until the calf hair wears off. The hair came off the last couple I had so fast I gave up on them. I like the finger guard flaps on the BW tabs, but after a while between the guards and the curling layers, I find it to be a little slow to get on the string without looking and making sure you don't get something folded over on the string. This is not ideal to me for hunting.
The last tab I used was the Pac-tab. I like this system a lot. Very adjustable. It stays on my hand well, and doesn't curl up like other tabs. I can change up the padding amount and make it all waterproof if I want. I plan to stay with this tab for now.
I played with a Cavalier Elite a little. It was not sized right, but it gave me an Idea of how it could work. I liked a lot about it, but the one I had was not very thick. It was ok for light bows, but my fingers didn't care for it when shooting a lot of arrows at the 54-55# I shoot my bows at my draw length.
I have had the problem with different tabs shooting right and left. I have also found this with different gloves or glove vs. tab. I have also found that all tabs so far tend to rub on my fingers a lot causing heavy calluses that flake and crack if I don't keep them filed down. This usually happens after the softer leather finish on the tab wears down and becomes harder and smoother.
I used to shoot with the basic finger stall gloves. I never liked them all that much and shot better with the tabs. The last year I have tried a few gloves and have not fund one I like until recently. They are usually too thin, don't give me good releases, or have seams I don't like because they rub on my fingers. I have been working with a super glove. I loved the cordovan, but didn't like how hard it was. After on and off shooting with it, it has started to break in better. I now shoot well with it. Just about as good as the pack tab. The more I shot that glove the more I find I don't build up my calluses near as much. No filing required. Most recently I tried a Big Shot Elk glove. The one I got to try was too big for me so it moves some, but still protects my fingers well. I love this glove. I shoot it better than a tab and it is not even sized right. The string feel is just right. I have no seams or anything to rub my fingers. The release is slick. For me there is something about a glove that gives me much better feel of what my three fingers are doing on the string. I can tell what fingers are pulling more or less much easier than with a tab.
For now I plan to shoot a glove for stumping and most of my fun shooting. Come hunting season there is a good chance I will change back to the Pac-tab just for the ease of getting it out of the way and back fast for a shot if needed.
I don't think one tab or glove works for everyone. It really is a lot of trial and error to find what suits you.