Funny, I'm left handed and a relative featherweight, and I love my hypoid saw. (Brief diversion: among the things tagged as worm drive there are the classic Skil brand saws that are actually worm drives and require regular oiling, and Makita makes a hypoid that offers slightly less torque than a WD but is more efficient and thus doesn't cook the oil in the gear case. So you never need to change the oil in the hypoid.)
Anyway, back to the question. WD saws get the burly tag because they're heavier than sidewinders. If you think that gravity can be used to your advantage, then a bit of weight could be considered a good thing. My personal opinion is that they track better because of the weight and partly because the handle is behind (rather than above) the blade.
As noted, I'm a staunch lefty, and I don't have a problem with the blade-motor relationship.
I think geography has a lot to do with what saw you end up using. WDs are popular on the west coast of the US. When I lived in Ontario, my hypoid was an outlier.
Application-wise, I can't think of anything that one saw would clearly do better than the other. If you were cutting stair stringers, it might be nice to have one of each style on hand, but that's getting pretty esoteric.
As far as things to know about saws, there's not a lot of difference between them: control the saw and control your workpiece. Wear protective equipment.