The former seems like it might be reasonable (and I wouldn't want to lock a piece of home infrastructure to a workspace account anyway); the latter seems utterly insane.
For many years Google Home with all the Nest speakers and displays have worked fine. But you are not allowed to use the nest cameras, thermostats, doorbells, etc with workspace accounts. Hence I regret buying those.
Microsoft has a similar issue with their ‘personal’ vs ‘work’ logins.
God help you if you try to use the store to buy some things on a work account, or login to some services using a work account.
You will regret it.
I have a workspace account that is my main email and such. With the Pixel 2 watch I had to use a @gmail.com account in order to use it. Not a huge deal, but annoying for sure.
Would be the same issue for someone who doesn't have an @gmail.com account at all. They would have to create one in order to use the Pixel 2 watch.
I got one as a gift. It is a good looking door stop, though.