What is very interesting because the original Broken Windows theory is mostly discredited nowadays. So, this variation standing is informative.

I think the discredited part is mainly that presence of small crimes can increase likelihood of major crimes. There's still pretty good evidence that more vandalism, run down buildings, littered streets, etc. can increase the amount of nuisance crimes. So sure it's not going to cause more murders, and policy-wise it doesn't make sense to over punish minor crimes, but community cleanup could still be helpful for reducing things like petty theft.

Which I think is consistent with this, having shitty surroundings leads people to treat their surroundings shittier is pretty analogous to being surrounded with cheaters making people cheat harder. The leap is that this will somehow escalate to worse/more violent crimes.