SSO for personal on corporate device

With Bitwarden browser extension (firefox) on a corporate Windows device:

I’m using my personal Bitwarden account. If I enable SSO and use our corporate SSO for authentication, am I correct in thinking that, after first time verification, Bitwarden will ask Windows if I’m valid and not prompt for master password on every new browser session?
Would this have ramifications for using bitwarden on my personal devices? (meaning it’s possible to have SSO for device A but not devices B, & C, or a different SSO provider on those).