Sustain infirmation follow quantization

All DAW sequencers move the controller info such as sustain, mod wheel/pitch wheel etc…except Cubase. When I need to quantize a chord, etc, the pedaling information remains, and I then have to nudge or drag it to a proper place.
Even Sequencer Plus Gold, circa 1986 would tie everything together when a piano part or other midi instrument is quantized.

This elementary function is long overdue.