Yes, you do--it's just that the mythbuilding builds on different aspects of their personalities.
Mythbuilding around Einstein made him out to be the physics outsider who came in and revolutionized physics--or, in the somewhat less outlandish (but still outlandish) version, the kid who flunked all his physics classes in school and then revolutionized physics. Neither is anywhere near the truth. Einstein was an expert in the physics he ended up overthrowing. The reason he did badly in school was that school was not teaching the actual cutting edge physics that Einstein was interested in--and was finding out about from other sources, pursued on his own. And even then, he didn't flunk out of school; when he published his landmark 1905 papers, he was about to be awarded his doctorate in physics, and it wasn't too long after that that he left the patent office and became a professional academic.
Mythbuilding around Hawking made him out to be the genius who, despite his severe physical disability, could see through all the complexities and find the simple answers to fundamental questions that will lead us to a theory of everything and the end of physics. (This mythmaking, btw, was not infrequently purveyed by Hawking himself.) That story conveniently forgets the fact that none of those simple answers he gave have any experimental confirmation, and aren't likely to get any any time soon. He did propose some groundbreaking ideas, but none of them are about things we actually observe, or have any hope of observing in the foreseeable future. And the biggest breakthrough idea he's associated with, black hole entropy and black hole thermodynamics, arguably wasn't his, it was Bekenstein's; Hawking initially rejected Bekenstein's arguments for black hole entropy.
The myth is not "Einstein did badly in school, but for that reason not this one". "Einstein did badly in school" is a myth, period. Einstein excelled in school.
https://www.nytimes.com/1984/02/14/science/einstein-revealed...
hotdogscout correctly clarified that I meant university, not grade school. Sorry for the ambiguity on my part.
It's undisputable he did badly in university and could not hold himself in academia because of this metric.
https://ethz.ch/en/news-and-events/eth-news/news/2021/07/fro...
He's the only one who left behind a model for how to go about emulating him.
Hawking and Einstein left behind their work but nothing I'm aware of teaching others how to do comparable work.
Who would you put in the top 10 ahead of him?
Feynman also became active in physics right at the end of the heroic era. So he's disadvantaged by it.
She says, "The list should be: Newton, Maxwell, Einstein. The answer is Maxwell, if you're making this list, right? James Clerk Maxwell, his complete theory of electrodynamics, the best, most important thing to come out of the 1800s in physics. It's Newton, Maxwell, Einstein, okay? Like Feynman is great, but he's not up there. But in popular culture he is, because he's famous for being a famous physicist instead of being famous for his physics, which also, don't get me wrong, he did a lot of really good physics. I just think it's kind of weird."
What really amazes me is that Maxwell got as far as he did with the incredibly clunky notation he was using. Our modern notation, IIRC, is due to Heaviside, and was a huge improvement.
That easily puts him among the top 10 physicists of the 20th Century.
Beyond his research contributions, he was a highly innovative und unorthodox teacher, and an utterly captivating raconteur. He had a highly unusual combination of skills and personality traits. That's why he's so famous.
As for your later contention that he's less visible to the general public since the '90s, well, I had Surely You're Joking as required school reading in the '00s, the narrator of the video similarly remarks on it being recommended reading for aspiring physicists in probably near enough the same timeframe. Oh, and someone cared enough to post a link today to his blackboard, and (as of this writing) 58 other people cared to upvote it.