The issue is not about securing how your hashed password is kept on your own hard drive/SSD, but about the strength of the non-hashed password...
I won't trust Microsoft or Apple, and AFAIK these are just session storage (i.e. non-persistent over OS sessions)... It's at least the case under Linux. I know many people now do not shut down their PC any more (which is a cruel mistake), but for people like me, it would be of no use at all.
If you want to secure your locally stored password hash (and all your private data, including browser cookies, emails and the like), simply use an encrypted disk partition for your computer account, like I do.
No, thank you. Plus, LL is examining two factor authentication (which will be quite an impairment to log in for people like me, without a portable phone; let's hope they will implement email-based second factor), so working yourself on this front would be a total loss of time.