I left one of my lye baths set up for the winter, It is outside on my back porch, It is a rubbermaid container/tub with lid, It measures apx. 28" x 16" and has a little over 6" of liquid in it, I put a skillet in it on 12/31 and pretty much forgot about it until this morning the temps here have been steadily dropping from just freezing/32 degrees F. on 12/31 (overnight low temp) to 9 degrees F. this morning at 6am. I checked my bath a few minutes ago, It is covered so that probably helps a little, There was a little slush on top maybe 1/2" but no solid freeze, as a comparison my inground pool which has a mesh safety cover has a sheet of skim ice apx 1/2" thick and my retention/irrigation ponds which are 50'x 100' x 4' deep are frozen solid ice(not slush or skim ice) down about 1" to 1 1/2". The efficacy of the lye bath seems like the cold retarded it a bit but it still is doing a decent job of cleaning the skillet I put in it. I will be keeping an eye on the Lie bath I have set up but it looks like I will be able to keep it up thru the winter.
I am located in Pemberton Twp Burlington County NJ 08068 just for reference.