I have shot with both, over the last 50-some years...
I'm very "picky" about what I shoot with. I like tabs, because I can wear it over a glove if it's cold. Also, I like the ability to flop it down into the palm of my hand without removing it, allowing me to use my fingers as needed.
Calf hair tabs are nice. I don't like the inserts on "can't pinch" tabs, so I remove them. I prefer a heavy, single layer tab, made from 1/4" thick cowhide. I used to make my own. When I was shooting 3-under, I traced an old tab, skipping the split arrow notch, and cut it out. It worked great!! So I made a few more, rubbed in a bunch of Montana Pitch Blend, and set them in the warm sun for a day. I used them for years, and still have a couple around.
Shooting split finger as I do now, and have for the last 5 years or so, I prefer a glove.
The problem (for me) with a glove, Is that they have to FIT like a glove!! You can buy 3 or 4 of the same size glove, and they all fit differently. I prefer a Damascus style glove, with no finger stalls or inserts. Back in 1999 when I was getting back into this "Traditional" thing, Joe Skipp sold me a large size, Berlin deerskin glove. That glove was the best glove I had ever used, and I just loved it!! I used that glove for many years. I have had a few of the Damascus gloves over the years, some that I liked, some not so much....
2 years ago when we were buying our hunting licenses, my youngest son Tyler, bought me a Bearpaw deerskin glove for my birthday. I just LOVE this glove!!! It fits like a glove, and it will probly be my last glove...