In the heat of the moment it is so easy to lose your cool and say the wrong things. Usually this can be reversed if the general relationship is healthy and the child knows that you are trying your best to look out for their interest. That must be your only motivation.
If it is about you having bragging rights or your ego, you will set up a conflict that will be very difficult to resolve.
I am only telling you this because I have been around. I have seen many vibrant kids grow into troubled and embittered young men/women who have lost their confidence. This can be done by the most well meaning parents as easily as by the most ill spirited trainers.
Chess is super intense so be careful, restraint yourself. Take care of yourself and your kids.
All my best.