Does the strenght training program matter in a cut?

coccodrillo72

I'm in a caloric deficit and will be for 6 more months. Up until 3 months ago I was following the Stronglifts 5x5 program, which I liked very much, and had good results in strenght gains. Then I had to stop due to a (minor) heart surgery, as my cardiologists seemed to think that weight lifting could be harmful for the heart - more on this can be found on my previous topic: http://www.myfitnesspal.com/topics/show/1233967-weight-lifting-damages-the-heart-cardiologist-said

Now I'm lifting again but to be on the safe side I'm following the American Heart Association position on strenght training
http://circ.ahajournals.org/content/early/2007/07/16/CIRCULATIONAHA.107.185214.citation so I have to stay on the 8 to 12 reps range. No more 5x5, at least for a while.

My question is: as I'm in a defict (and not a small one either: I'm aiming for a 1% body weight loss per week - which is still considered safe for LBM given my BF level) and my 6 month goal is to preserve LBM, does the type of strenght training program matter or any program with some sort of progressive overload will have more or less the same effect?

Currently I'm taking it slow and - for now - I'm following the same Stronglifts 5x5 A-B split routine 3 times a week, with the same exercises but I'm doing 3x12 reps, with a fraction of the previous weights. I've also seen the All pro program (thanks Evgeni) and it's a possibile alternative, but the workouts would be longer and I'm not sure it would be worht it or make any difference during these 6 months.