From a chemistry point of view, colder solvents generally take up less solute (THC, CBD, etc). The trade off here was written up rather well by @Photon_noir in this post. Granted the post was made in the context of ethanol extraction but chemically, similar principles apply to butane/propane extractions.
Another thing to consider is that if you are running at very cold temperatures and your material is of decent/good quality, this should negate the necessity for CRC. Invariably CRC will lead to a reduction in yield.
Consider increasing your soak times on your extractions. Since you didn’t post what they presently are, consider increasing the duration by 15%-30%. You should most certainly see an increase in yield without a large increase in undesirables.
Also consider not CRC’ing the material and examine its characteristics. Is it as dark/color ridden as before? Is it necessary?
Just some thoughts. Best of luck.