It would be nice if the tool list took into account the tool offset as well for the displayed too name. Something like Hood did:
But I don't know how to practically do this for all the combination possible. Instead I hope that in your Tool Setup DRO the displayed tool name is tied to the offset number and not the tool number.
By the way, I think that tool radius compensation doesn't work well in MachTurn. Please correct me if I'm wrong.