Yes, a picture and their word will be good enough, if you do not have any counter evidence.

Then NEXT TIME, if it happens, you have absolute evidence that the problem resolved and that the tenant is responsible for bringing in the roaches, or fleas, etc. 

Honestly, after reading the reviews I'm thinking that the worst part is that with their low water use they will probably leave "evidence" of a bath room visit on the sides of the bowl.

@Ihe O. it's a shame you missed the metaphor.You are relying on anecdotal evidence to support your strategy when it is known that it is poor practice.

No evidence of animal or human waste on the walls or floor;11. 

You have the web page as evidence and you print out the photo's to take to court.  

While you are there look for other evidence of lease violations.

That is not to say that she can't sue you or try, but you have the law on your side as well as the evidence (take lots of pictures).

My husband took pictures for evidence and I sent a letter to him .

If the police had a warrant for someone at your address, they would have to have some sort of documentation or reasonable probable cause for a judge to issue a search warrant, so even if the warrant is effectually appropriate, the police may have acted inappropriately or even with negligence when preparing the request for a warrant (i.e if they got the wrong address or falsified evidence to obtain the warrant).