It just seems more likely to me than any culture about a language per se.
But thinking of it, Sturgeon's law may be at play. PHP used to suffer from similar reputation to JavaScript, and only started regaining its status as a proper server choice once the masses moved to greener pastures. Sure, the language was a "fractal of bad design" and had footguns galore, but it wasn't that bad, and most of the traps were avoidable when you had half a brain and used it. The web may be crap very well because it's where anyone fresh to programming can find a high-paying job, and you can become a "senior engineer" after one year of job experience.
But that, still, is a problem. Outside of programming, there are quality standards on the market - often enforced by governments. Even if 90% of chairs are crap, you can't go and sell that crap to the public. Quality standards filter most of the crap out.
If that's the case, I'm not sure what to do. Introducing quality regulations to programming might help solve the problem of website bloat and constant leaks of private data, but it would also destroy the best thing about the web and programming in general - if you have an idea and a computer, you can make it and show it off to everyone.
It could be argued that the same language, given another chance, would produce a similar culture, though I'm not 100% convinced of that. Anyways, what we need is a reboot of web development culture.