First question; why are you in no contact? Second question: is this something that you do? Third¶

If you are in no contact with an avoidant ex, don't reach out on holidays -- hold the boundary unless they break it first.

Key points¶

The avoidant is likely still overwhelmed; a holiday text pops them back into that state and undoes the distance you've built.
Default answer is no contact means no contact, even on birthdays and holidays.
One exception: if they text first, mirror them -- "thank you, happy holidays" -- and nothing more; it is not an invitation to reconnect.
Focus on yourself and your own people that day rather than managing their feelings.