If I'm not mistaken, aren't notifications on a quoted tweeted already muted for the quoted user? That is, the user sees the quoted tweet, but isn't notified wit

If I'm not mistaken, aren't notifications on a quoted tweeted already muted for the quoted user? That is, the user sees the quoted tweet, but isn't notified with each reply/like of the quoted tweet? Just tested it on my own account but maybe I've changed a default at some point.