> Bootstrap started as something like this [...]
Exactly, and meanwhile relied on jQuery until the most recent major release (3 years ago).
Once you're starting with one framework (no matter how "lightweight"), you can't gradually introduce a different one that better fits your problem domain, you usually have to rip it out & redo at least some parts.
> [...] for some reason a generic look on the web is considered bad [...]
Yeah it is bad. I won't go into specifics but it's horribly bad, and the sheer amount of CSS frameworks out there is evidence enough.
But the main problem isn't even that it looks (&works) ugly, it is also lacking/incomplete as a basic UI toolkit. How long did we wait to have a standardised date picker? Color picker? Where's the progress bar? Context menu? Tab bar? Icons with labels, representing files/objects? Half the other stuff we've had figured out in the 1980s and considered absolutely necessary by 90s?
Fire up Borland Delphi Builder from the 90s and marvel at how easy it was to stitch together a simple UI that looks decent next to every other app that ran on your computer. JS is ~30 years old, and we've been building web apps even before that, there was plenty of time to match it - but we've spent it on churning through frameworks instead.