This is a great point, we might need to wait for the AMO to switch to the negative phase for this to happen.
When the AMO switches to negative we get more 100 and above degree days in the summer and more 0 and below degrees days in the winter.
Cases in point
Years we went 0 and below in the winter and 100 and above in the summer: 1977, 1983, 1993, 1994
I think we also did both in the 40s-60s period several times.
When we switched to a +AMO our rainfall went up and our 100+ days in the summer and 0- days in the winter both dwindled.