I'm one of the persons who never takes off suckers but it really depends on where you live in terms of how you grow your tomatoes and where, in a climate sense that you do. As well as if foliage diseases are a major problem where you are.
THe word sucker was originally given to what are really called lateral branches b'c way back when it was thought that lateral branches "sucked" the energy out of the plant , which is not true. Long ago it was also thought that lateral branches were not productive as in blossom for mation and fruit set, which is also not true as I'm sure most already know.
I should say that in the past I've grown most of my plants by sprawling and some in cages.
The way I see it, the more foliage you have the more photosynthesis you have thus the greater amount of energy ( ATP and GTP) is generated which is a huge benefit to the plant in terms of plant growth, blossom for mation, fruit set and fruit maturation.
I also like to have some backup foliage if my plants get foliage diseases.
And a more hefty foliage cover the less likely fruits are to develop sunscld, but for most folks sunscald of fruits only starts after harvesting starts and the foliage is rearranged and in doing that thus exposing the fruits to more sun.
So as was said above, some do and some don't remove lateral branches.
Yes, it is true that with some varieties if you prune heavily that there will be less fruits and most of the time bigger fruits. But I've never been one interested in growing large fruits of any variety, what's most important to me is taste.
Just another opinion.