Bluetooth is 2.4ghz, same as wifi. So the thing about the frequencies meaning it won’t work is rubbish. We do bluetooth at work with body mounted kit, where at times the person’s body and the bluetooth gear is facing away from us, and there are two great big electric motors between them and the receiver, and it works fine (about 6 or 7 metres between transmitter and receiver)
It might not work because some bluetooth transmitters are pretty low power, and some receivers have pretty poor aerials though.
Personally I’d be surprised if it didn’t work, although old Polar stuff always used to use very low powered transmitters to improve battery life. There are a bunch of HRMs that work with Android phones that might be better.
Joe