I have a Logitech K350 bluetooth keyboard and mouse set. They work great, until I connect my SoundWear wearable speaker. While it's connected, The keyboard and mouse both hang for a second. It happens about once a minute. There is no disruption to the audio. I have turned off the wifi to no effect, tried in several different locations around town, and I am not close to any microwaves or large power sources.
I think I have experienced this same issue with the keyboard freezing momentarily with my bose BT headphones. I am interested to see if you get an answer...