TL;DR
Learning to manage your own feelings of worry and anxiety is likely to be a more useful focus than the question "Do I, or don't I, hassle my recommender once again?"
Your own sense of uncertainty about what to do simply reflects the fact there there is no sure-fire answer to your question. I'm sure you've worked through some of the almost infinite possibilities in your own mind, but let's try and spell out just a couple of them, ... and use "Prof R." to refer to your recommender:
Despite your own reminders to Prof R., the remaining reminder emails have
simply slipped their mind. Prof R is having too
much Christmas fun. If you contact Prof. R again, they (might) find
enough time amid the fun to do as you asked (success) ... or not
(failure, but nothing lost from trying).
As for point 1, except that instead of having fun, Prof. R is
overwhelmed by pre-Christmas demands from you and everyone else. Your
further reminder to Prof. R. annoys them. To get away from the
annoyance of you hassling them, Prof R. writes the letter of
recommendation (success based on principle of "the squeaky wheel gets the grease") ... or decides that, despite their previous
intentions, they are now going to avoid you and to focus on something
other than you and your request (failure!)
What is clear is that (i) there is no reasonable way of predicting the response of Prof R., and (ii) there is no sure-fire way of getting what you want. A suggestion from someone on Stack Exchange to do one thing versus another will be made in the face of even less information than you have about the individual person, Prof R.
That said, however, there is a fair amount of evidence in the psychological literature, that doing something is more likely to reduce your own anxiety (at least temporarily) than doing nothing. Doing something is also more likely to reduce the possibility of your own later feelings of regret. If those things are important to you, then do whatever is necessary to get another reminder to Prof R. ... and then live with the outcome which will be well and truly settled by the New Year.