Yes, I can confirm controlling tempo with MIDI CC doesn’t update the time parameter. While it does update when I assign the BPM to a knob on my MOD. This is weird and I think that’s a bug.
It looks like this bug was reported already some time ago, but it was discarded: Global tempo not translated to plugins when BPM mapped to an external MIDI knob - #7 by jon. Maybe we can breathe new life into it.