I have used this for about a year now and am happy with it. I don’t use the regular 5-3-1 anymore, opting instead for the 3-5-1 but still going for rep maxes for most of my training cycles. I only switch to singles when I am prepping for a meet.
Go for rep maxes on the 3’s and 1’s weeks, and keep the 5’s week at 3x5. It gives you a nice little “medium” week in between your rep max or singles weeks where you really push yourself, and I like that. You can crank up the assistance volume in the 5’s week as well.
Occasionally I would do a heavy single instead of going for rep maxes when I got a wild hair up my ass and thought I was close to a milestone (600 dead, 4 plate bench for example) but mostly just did the rep maxes unless I was in the full fledged meet prep mode, in which I would follow the exact meet prep template for the 2 months leading up to the meet. I’ve done two meets with this method and have been pretty successful at both, busting my previous PR’s by a good amount.