Is there a command that my players can use if they would like to disable their chat tags?

Same issue. Players on my server keep asking about this repeatedly. Some of them want to hide their prefixes, especially those who purchased a rank package.

I tried Prefix Visibility, but after the server restarts, the /tag command stops working. I've been searching for an alternative for days.

Is there any chance you could provide an update on this?

Well, hopefully they add that feature at some point as not having it is a bummer