Coming at it from a technical point of view, for a standalone device, bluetooth has no advantages – it is higher power, so batteries run down quicker, it is often fiddlier to connect, there are more likely to be many other bluetooth devices around you, ant deals with dropped connections in a nicer way, and it offers no better connection or accuracy. Oh, and it is more expensive to license and build.
At some point newer low power bluetooth standards will probably make ant obsolete, and it will become cheaper to implement Bluetooth, but right now the only reason for a bluetooth belt is to talk to a general purpose device like a phone.
Either that or at some point all radios in devices will be software defined meaning it’ll be trivial to support different wireless protocols, at which point phones may support ant or similar.