My main use case is having two profiles: one for personal use, another for work and having the bookmarks, (and perhaps window and tab history) sync between my work laptop and my personal one for both profiles, because these days I may work from home (or may do personal stuff while at the office)
Having website data (like cookies, persistent storage, signed in services an so on) is not that important, signing again in the other machine after profile has been "synced" would be fine for my use case.
This comment by pantulis is exactly how I would expect this feature to work. I suppose having the cookies/storage/sessions be synced could be convenient, but I don't believe any other browser does so, so it would be completely within expectation to not implement such a requirement.
To reiterate, when I create a profile, I would like for it to be synced across my devices (e.g. personal and work Macbooks) with syncing of crucial data such as passwords, bookmarks, history, etc.