It's not quite directly connected: only the user on the Matrix side of the bridge has their Matrix home server reporting on their connection. However, it does

It's not quite directly connected: only the user on the Matrix side of the bridge has their Matrix home server reporting on their connection. However, it does see into channels the user joins. When the bridge to Rizon came about, it made people very uneasy that their channels were being broadcast to the Matrix mothership (since Matrix.org runs bridges for everybody to use) just because a user who used the bridge joined. (Ultimately Matrix turned off that bridge, according to Rizon, and I'm not sure if because of complaints. Other networks discourage bridging entirely, like QuakeNet.)