Yep, that’s it, exactly Michael.
When I start a new search, it feels like starting over. That’s what I’m used to from other sites.
Background info - I can’t hide the button, as I’m a moderator (not an admin), which is also the reason I didn’t like the logs showing checking of multiple emails, when that wasn’t my intention.
Noone’s mentioned the “show emails” Vs “Show email address” point in the replies, but I think that would be an easy change to clarify.