Bitwig and Reaper. Bitwig’s device chain preserves all MIDI data, and properly supports MIDI effects as well, so that one does not have to resort to multiple track routing or sends in order to get MIDI data to a VST effect.
The MIDI data sent to an Instrument is also passed down the chain. Unless a MIDI effect VST or Bitwig device specifically blocks, or alters MIDI data, every effect receives MIDI data during performance or playback.
Reaper works the same way as Bitwig in this regard.
Logic, S1, and Ableton do not support MIDI Effect VSTs or audio effect VSTs that consume MIDI data when used directly in the device chain, or as an insert. Therefore in those DAWs, the H9 plugins do not receive the CC data from the track or controllers.
