I got the impression that the police department's system might be suffering from some bit rot.

That could easily be an interpolation on my part, though. I tend to just assume that all critical infrastructure built on Notes is poorly-maintained in the same way that I tend to just assume that all critical infrastructure built on Microsoft Access or Excel is poorly maintained. (I'm sure there's some well-tended stuff out there, it's just being kept hidden from me for some reason.)

I think reading between the lines of the article that they aren't paying IBM for software support.

They don't need to, they're paying a third-party for support. I wouldn't be surprised if the contractor has an IBM support account.

IBM really, really does not want anything to do with further developing or supporting Lotus software products. I believe that they gave that whole business over to HCL not long ago.

OK, HCL, but by that token Thinkpads and Deskstars are still being made.

Rumor has it they've largely stopped using it internally, too.

Only for the most current major version. They're almost certainly not running that.