Earlier quoted context omitted.
Not sure I understand. I routinely have a personal Google Drive tab and a work tab in Chrome. Ditto with email.
Is this a Google accounts feature or a browser feature? I switched to FF for Container Tabs, and use it for much more than Google accounts.
ADDED: In general a lot of services don't handle multiple accounts terribly well. I've had issues with Wordpress as well. I actually have two different soft-key authenticator programs related to making personal and work accounts play nice.