I'm unaware of any evidence that the differing effects of training in various rep ranges changes due to caloric surplus or deficit. How much one is eating determines recovery and mass gain, but the body is still reacting (or trying to react) to the training stimulus in the same manner.
When I'm on a calorie deficit, I train at just barely submaximal intensity for strength:
- 2-3 reps per sets
- circa 3 sets, less for the deadlift, more if I'm feeling energetic
This is because I recognize my ability to build muscle is limited, so I avoid the hypertrophic rep ranges entirely. I can do this because my goals are health, strength, and power. If my goal was muscle mass then I might disregard my calorie deficit, work in the 6-12 range, and recognize that my recovery ability is going to be strained.
Regardless of my goals, any cutting diet should be high in protein in order to minimize the negative effects of a caloric deficit. Protein is dense and satiating, which helps with coping with hunger, and high-protein diets have been shown to encourage the body to spare muscle.