My understanding is that Tesla no longer has a Public Relations department[1]... so they may have simply set their inbox size to zero?

[1] https://electrek.co/2020/10/06/tesla-dissolves-pr-department...

If it is on-prem, not really. You'd have to intentionally or unintentionally set a restrictive quota on it and I have no idea why you'd do that for a press inbox. There is a user in my org who has a 120GB mailbox because they never delete anything ever. It is annoying to us, but it works just fine.

Source: Exchange on-prem admin. Cloud hosted email is probably less accommodating.

You sure could set a mailbox size limit in Exchange environments, though even at small companies Ive set limits of 50gb/mailbox - thousands and thousands of messages.

My org only recently upgraded our mailboxes from 1gb. So, yes very much so.

I was having to archive stuff roughly every 3 weeks, it was a complete pain.