Yup done that, got the T-shirt.
Have also flown other CSU equipped singles and twins from Socata; Cessna; Piper and Beech.
And on all of those you can juggle the carb heat or alternate air to your heart's content without it making a dicky bird difference to the RPM.
That is the essence of the CSU. If your TB10's CSU can not cope with the difference in power due to the application of carb heat then it may well be that there is something wrong with it.
Those who have experience flying twins will know that even if you throttle one engine back to zero trust and open the other engine up for simulated engine failures there will be no changes in RPM as can be witnessed by the props staying in sync.
FD