Heck, the Spencer Tracy version isn't even a "sex pervert." He's just a bushy-eyebrowed guy who sort of resembles Burgess Meredith as the Penguin and whose transgressions are never made any clearer than just being generally uncouth and rude toward his girlfriend. The Hays Code forced them to censor the sexually-themed plot of the previous movie so heavily that the sense of menace is completely lost. I don't know why they didn't just tell the story differently, since the original book was very unlike the Fredric March film. Given the censorship on sexual themes, they could've just changed it so Hyde was a criminal and killer, rather than someone who was vaguely, implicitly maybe sort of abusing Ingrid Bergman offscreen if you read between the lines.
The Mr. Hyde in Steven Moffat's Jekyll had superpowers to a degree -- heightened senses and augmented strength and speed. And I think the original portrayal of Hyde as a superstrong giant monster traces back, not to the Hulk or to League of Extraordinary Gentlemen, but to Friz Freleng's trio of "Jekyll and Hyde" cartoons, Dr. Jerkyl's Hide in 1954, Hyde and Hare in 1955, and Hyde and Go Tweet in 1960.
The Looney Tunes version is definitely the earliest Hulkish Hyde I'm aware of, that version even annoyed me slightly as a kid, since I read the original at a very young age. In the original short story, Hyde goes to the bad part of town a lot, the implication from that is that he's running around with prostitutes & doing drugs - things too shameful for upper class Jekyll. Hyde is pretty much a metaphor for addiction & excess - after a while he consumes Jekyll and he can no longer turn back. In the end he's trapped as a wanted criminal & none of his old friends know who he is so they won't help him. That's why I dislike the Hulk version - the original is more interesting to me.