03:21:30.685 - Start logging...
03:21:30.685 - GetBdaTunerList
03:21:30.685 - tuner Silicondust HDHomeRun Tuner 105287AD-0 - -
03:21:30.935 - Silicondust HDHomeRun Tuner 105287AD-0 ex:56781 type:DVB-C
03:21:30.935 - tuner Silicondust HDHomeRun Tuner 105287AD-1 - -
03:21:31.196 - Silicondust ...

21:03:06.969 - Start logging...
21:03:06.969 - GetBdaTunerList
21:03:06.970 - tuner Silicondust HDHomeRun Tuner 105287AD-0 - -
21:03:07.228 - Silicondust HDHomeRun Tuner 105287AD-0 ex:56781 type:DVB-C
21:03:07.229 - tuner Silicondust HDHomeRun Tuner 105287AD-1 - -
21:03:07.487 - Silicondust ...

I too would like to try progdvb with its claimed ATSC support but no joy.
The OP's logs seem to imply progdvb thinks the HDHR is a DVB-S device so seems lika a programming bug.
It is too bad progdvb doesn't support the most popular ATSC tuner.
Hopefully it gets fixed.