Send pms sends site message, but doesn't email it

I have a community that mostly communicates via mailing list mode.

I have enabled automation to Send pms (A welcome message) when a user is added to TL0. The Pms sender is my Admin account.

Result: The PM gets sent to the user on site. The PM is not forwarded by email to the user.

Expectation: PMs sent to users via automation should also receive PMs via email.

Problem: I have a welcome message that doesn’t get read and also a few reminders and notifications that also don’t get read, because users expect email and don’t login regularly/ever.

When I manually send a PM to a user, that PM is forwarded by email to the user. I want to automate this action.