I would have to disagree with that (for the 4500 and for now at least) and say that it 'used to'. Using the: Acquire Atmosphere>'Acquire Atmosphere From...[Kestrel]' menu option results in an error, specifically:
Failed to connect to Bluetooth device: read failed, socket might [sic] closed or timeout, read ret:-1
Equipment Details:
Android (Google Pixel XL running V8.1.0, patch level 5 Feb 2018, Build OPM1.171019.016 - I can't correlate the Kestrel Bluetooth issue with any particular Android OS update)
AB Mobile is V2.1.1
The Kestrel is a 4500 purchased from Applied Ballistics, updatd to 4.93 via NK Bootloader with firmware from the AB site. Bootup displays 4.93, Bluetooth>Info>'Ver' displays 42A.477.37 and when in 'AB Mode', scrolling down to 'About' displays 'AB Kestrel Version 38'.
It's not a generic issue with the phones bluetooth itself from what I can see as bluetooth pairing, connection and data transfer to a PC, laptop, car, speaker and a couple of headphones, all works correctly.