Is there a reason May 2021 should be particularly instructive vs year-to-date (YTD) for NYC? [1] has murders down 1.3% (299 vs 303) and burglaries down 24% YTD. Felony assault is up 5%, but overall crime is down 0.9%. It's definitely a stretch to say NYC is "drowning in an epic ongoing crime wave", given those numbers.
[1] https://compstat.nypdonline.org/2e5c3f4b-85c1-4635-83c6-22b2...