Take it how you like, but after 32 years in LE, including several years in uniform before I went to detectives, I have a pretty good idea of what cops do when responding to this kind of call. They had no reason at the time to be suspicious of Kim. She was ostensibly a good samaritan making a minor complaint. It was basically a drunk in public call, very common, and very minor. If this had been a call that involved an injury, accident, fight, theft, weapon, something like that, that would be different, but it didn't.
With regard to Kim calling the cops, we were talking about the earlier 9-1-1 call, not the SG's call from Kroger's.
If the cops didn't ask questions of Kim, they weren't doing their job..or they knew her.