I'd lean more towards full-body. A split is more of a body-building approach IMO. For full body strength, use full-body workouts.
I think the split is really for two main purposes...economy of time considering when hitting all body parts 2x/week (typically) and also to offset the lower energy from a cutting diet that bodybuilders are on 12 or so weeks at a time.
I know you are cutting, but I wouldn't worry about changing the routine until you noticed a meaningful drop in strength. Think about it....when your food intake is no longer keeping up with your exertion, where is that energy going to come from? That's right, stored body fat!
Yes, that will be a crappy few weeks of transition, but that's what you want...expect it!
"You must have a very strong reason for doing an exercise. If you don't, scrap it and move on." -Jim Wendler