No.
Also no. In fact, the remote doesn’t even have to be in the same Zigbee network.
The issue is that some remotes send broadcast messages to particular Zigbee group ID’s by default, and some devices also listen to those group ID’s by default. I don’t know about INNR, but it’s a (relatively) well-known issue between IKEA and Aqara (see this Dutch post, and there are a few more but can’t find them at the moment).
Other Zigbee implementations work around that issue by automatically “unsubscribing” such devices from those groups when they get paired (but Homey doesn’t support that AFAIK).
That’s “normal” for Homey, at least with the old Homey Pro. It cannot handle sending lots of messages.
