I think when you're not in the best place mentally, everything feels too much and you can end up catastrophising and/or seeing bad intentions in others' behaviour when it isn't really there.
I'm a teacher, so I do understand your perspective and how exhausted, overwhelmed and lacking in any more grace you must be feeling towards a school that has obviously ground you down. However, from the perspective of having been left in the lurch by a colleague who left under similar circumstances to you, who refused to give a timely handover, leaving me with no information about my new students and no knowledge of where they were up to in the syllabus, I do think that you need to be mindful here of the impact of not giving information on your colleagues, who are probably not the ones to blame for your current situation.
Teaching is a collaborative profession and so much of what we do with our students in our classrooms and what we know about our kids is largely stored within our heads. Only you know exactly where you are up to in the unit, only you will know the current level of everyone in the class - which might not be reflected in assessment data, only you will know which child doesn't like being picked on to answer, or which one needs pushing because they're super clever but inclined to coast, or which one's parents are currently going through a messy divorce and needs a bit of TLC and so on - and without this information being handed over in a timely manner, you are leaving the colleague taking over from you in a tricky position and possibly giving them a load of work to do over Christmas to fill in gaps it would take you an hour to just send over in an email.
If you really can't face it at the moment, then you can at least give them a date by which you will, as to be fair, they do need to know. However, if I were you, I'd just do it now, get it over with, and then focus on healing and moving forward with your life.