I got started shooting hot lights, and they were fine when using 35mm or medium format. Once I moved to large format, the painfully slow exposure times you get without circuit-popping (and paper-igniting, hair singing, sweat-inducing) wattage were useless for me. The other thing about hot lights is that when they're really bright, they make models squint - with flash, you can keep the modeling lamps dim so the model doesn't squint. The heat may not have been a problem for someone like George Hurrell, who had a giant studio to work in, but if you've only got 9' (or lower) ceilings and a relatively small working space, a couple of 1000 watt floods or fresnels will very quickly tax your a/c.
I have a 10" fresnel that's been converted to strobe (Norman used to make these), and except for motion artifacts and pupil effects like those mentioned above, you can't tell it isn't a continuous light source.
There are some kinds of light modifiers though that are just more practical with strobes, so you can usually identify, say, a softbox, and you can usually assume that there's a strobe inside it, though there are fluorescent arrays that look like softboxes.