On what entity page(s) would this appear?
I would probably add the Your plays: login (I don’t scrobble) to my Hide Play on ListenBraniz userstyle (I don’t have any streaming subscriptions)…
The stats would be nice, I guess.
Maybe also a link to the equivalent page(s) on LB?
Acutally, could you always show the stats and just hide the big Player button and the Your plays row when not logged in to LB?
This way, it would no longer bother the non-LB-users. 
I also notice (now, a few days later) when I am mentioned in IRC.