For an Ant+ sensor, it is essentially a broadcast. ie it is just transmitting your heart rate, when it is switched on. So you can have multiple devices receiving that at once. It is handy if you want to use a watch, bike computer, phone, gym machine etc, all displaying your heart rate at the same time.
You just have to check the ID number, to make sure you are connected to the correct sensor.
Whereas Bluetooth LE needs to be paired to make a connection. The heart rate sensor connects to one specific device, ie a 1 to 1 connection. Though some models allow 2 connections at once.
For a gym, I wouldn't bother with setting it up and connecting for each machine. Just take your own watch/phone to display it.