Ideally, yes. But in practice it doesn't always work like that. For one thing, I've noticed both LastPass and BitWarden slow down the more data they have in them. Which makes using even common sites a bit annoying.

There's also the fact that I have many duplicates. For example, I've somehow acquired a dozen Samsung accounts from all various services they have. So when I go to one site, I have to work out which of the duplicates is the up-to-date one.

Finally... just so much clutter!