We had similar observations about our lawn care & asked our service, Logan's Lawncare, to only cut once in Nov. Then, assessing the Dec length, we asked them to not mow or edge in Dec & Jan, with re-start scheduled for Feb. They agreed. No bills in Dec & Jan. They are a smaller operation & very responsive to any request we have made. They do fine work also.
Can't find a phone # , but here's their email.
loganlecompte777@gmail.com Grass doesn't grow here in the winter.