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Diode
Whenever I've cut weight I actually decrease volume and focus on retaining strength through the weight loss. The only time I've done a bodybuilding type training is when I was first starting off at the gym. My entire spectrum of weightlifting knowledge is geared towards strength. If you're looking for advice for keeping muscle mass while cutting I'm not entirely confident in my knowledge in that area. My guess would be to cut down volume slightly as your taking in less calories. For keeping mass just reduce exercises but keep the bodybuilding set/rep scheme (the 3 by 10). Your question confuses me, actually. Increasing your volume of weightlifting while maintaining or reducing your caloric intake would constitute a cut (i.e. the high reps you're talking about), but the only type of cutting weight I've done is adding HIIT and LISS cardio while slightly reducing my weightlifting (which is for the most part strength work)
I hope this helps, but probably not.