Problem plowing snow

My int154 using my duo cross chains worked great in the past plowing heavy wet snow. The first snow we got i had problems. I noticed it wasn't the tractor, i realized the ground wasn't frozen solid yet. the chains were digging in. Now with the second snow with the ground finally froze she is plowing now.

Seems like chains digging into the ground would not really cause problems plowing snow, but would increase the traction.
Well, maybe the plow would also be picking up a little dirt/gravel as well as digging up the lawn.