Should I email again some professors after I submitted my app on Dec 1st?

[Arandavia]

I messaged some potential advisors on Sept (got good comments but they do not accept students directly, just through a commitee). I thanked them for the encouragement and I told them I would mention them in my SOP. I have applied to 15 schools and just 1 interview until now. Should I message again these professors  to say I applied and idk, wish them happy holidays?

Might look desperate but would like to hear some advice.