I believe you can cut and keep strength. Based on how fast you are losing weight. If you dropping weight fast then it's hard to maintain strength. I love to bulk to put on my muscle and strength. But it sucks for my deadlift. I pull conventional. Any weight fain past 5-10 pounds makes it hard for me to setup for my pull. I can do it but I have to adjust things here and there in order to get myself into good position to pull.
If you pulled 500+ for a trip. Then can't get that same weight next attempt. A few things maybe not enough carbs for this heavy day, not enough rest between sets. And if this isn't the case then. Drop weight by 10% and bang out 3 sets of 5.
I am off the school of thought that you should only pull heavy twice a month. Alternating light weeks and heavy weeks.