We've given this a proper look and the answer is no, so here it is with the reasoning.
Kettle is built around a group that forms, spends and settles up. Everything in it assumes an ending: the balances resolve, somebody pays, the group closes. Household bills never do that. A total that never settles needs different maths, different reminders and a different idea of what finished means, and adding it would make the holiday case worse to serve a case we're not good at.
One thing that works better than it sounds: a flat group you settle at the end of each month. Same numbers, and it keeps everyone square as you go.