There seems to be a lot of crap out there that regards 5/3/1 as only worth doing, or only effective if you're an "intermediate or advanced" lifter. For what it's worth, I switched over when I had loads of potential linear progression left, and have had a lot of success with it. I really don't see any kind of strength standards applying to it.
If you switch when you could still be on an LP/peaking type program it just means you can progress more cycles before stalling and resetting. A lot of people seem to think it will stunt their lifting career if they don't stay on Starting Strength or Texas Method for as long as humanly possible... I think this is really only the case if you're going to lift for a year and then quit, rather than look at the big picture and plan on lifting long term. Don't worry about strength standards, there are no minimums necessary for this stuff to work.