I had issues with Eero with my multiroom system. When I called tech support they told me the products don't work well with mesh networks but didn't know why. 

Not that this help much, but I have a Essence, Eclipse, Bs2 and m3 all working just fine on a Netgear Orbi mesh network.  I have seen periods where various devices connect to the wrong hub, but it usually straightens itself out after a time.

Stan

What I suspect is that it isn’t the fault of the BSM or M3. These Mesh are clever systems (I’m not familiar with the Linksys version), but the system itself probably does some loadbalancing by spreading the clients accross the different AP’s. 

My complete network consists of several switches and AP’s, as a picture on another topic shows. But even my wireless livingroom thermostat connects with the outdoor AP instead of the 2 meter away placed AP in the livingroom. 

Of course, no sooner did I say mine works fine, then it started acting up.  My main router had a software update, and after the update my BS2 would automatically multi-room with my Essence... but it was not playing, only the Essence was playing...  and it wouldn't respond to commands from the app, including reboot...  so I unplugged the Bs2, rebooted all the others (except the Eclipse), plugged the BS2 back in and now all is well again.  I think some of the problem must have been because I had the BS2 and Essence both running when I the router updated (not multi-roomed, though).  Next time, turn off everything before rebooting the router.