im going to try and not sound like a dick.
i have done some research into the 20rep program. some people differ in opinion about doing it 2x a week with 5lb jumps or 1x a week with 10lb jumps. but the thing everyone says about either version is that it is very fucking hard. its a high volume program that adds 200lbs of volume a week crammed into one long set. to me it sounds a lot harder than toughing out linear progression for a very long time.
as for nutrition... im sure that for your body to recover from such a massive overload, you would have to be eating quite a bit. possibly more than required to make 5lb jumps twice a week on 3x5.
doesnt sound to me like a good "cutting" program