Tomato sucker identification

Hello fellow permies, I have a sucker question.  I can usually identify suckers.  I'm trying three trellising methods this year, one of which is a string hanging from above that I'll wind around the tomato as it grows.  This requires pruning the suckers.

On one or two tomato varieties, I get forks in the trunk/stem that don't look like suckers.  They don't originate from a leaf crotch.  So are these just a "branching and suckering" variety of tomato?  I guess I'll just add a string for the new branch but I'm worried each of the forks will fork again and then I'll have more trunks then I can deal with.

In the picture, the fork is in the center of the picture and a "normal" sucker is in the upper left.

If you are pruning to a single stem, then just prune to a single stem, no need to put labels of "sucker" or "branch" on what you are cutting off.

I grow some varieties of tomato that branch at every leaf node, and the branches branch at every leaf node. They are tremendously productive plants.

Thanks Joseph!  So to test my trellising experiment, I'll prune those branches on the single string trellis and let them go wild on the other trellises (trelli?).