I agree, and this is arguably the best reason to use a password manager (with the next being lack of reuse which automatically occurs if you use generated passwords, and then the next being strength if you use generated passwords).

I generally recommend Google's to any Android users, since it suggests your saved password not only based on domain in Chrome browser, but also based on registered appID for native apps, to extend your point. I'm not sure if third party password managers do this, although perhaps it's possible for anti-monopoly reasons?