Unless I'm mistaken, pinned tabs are automatically suspended at startup.
This is a big problem for me as I pinned apps that I want to always keep open especially to receive desktop notification.
When I open a profile, I usually open a new tab to work on something (a search, a spreadsheet, a note) and expect the pinned tabs to be active so I can get my instant messages, emails, tasks assignments, event reminders (…) in the background.
Because of auto-suspend, this is impossible unless I can open all pinned tabs in all profiles. As far as I know, popular browsers don't do that for a good reasons.
PS: I understand that this behavior could make sense in Low power mode, which I'm not using.