TFA doesn't even claim that. TFA links to an advocacy website trying to convince authorities to put out less light pollution. It claims improved lighting (presumably brighter) doesn't reduce crime, and it claims a reduction (but not elimination) of lighting doesn't increase crime.

I would say that going from no lighting at all, to some lighting, on urban paths, improves safety (not tripping over unexpected obstacles) and reduces crime (presuming there was any crime while it was unlit). The article doesn't refute that. I would suggest that if a major city decided to eliminate all street lighting, it would be absolute chaos.