I've owned 11 Para's and 2 Kimber's. Of them, I have 1 Kimber left.
IMO, the finish on the Kimbers leaves a lot to be desired. That may not be all Kimber's, but in my case it was. The finish on the stainless Para's can be spotty. I've seen great stainless finishes and some that just stunk. I liked the finish on the Para slides - I thought they were really good, but it seems the frame finishes could rub out easy.
I have a Kimber Gold Match and it is super accurate. I can easily get 1" groups at 25 yards with different charges in handloads. Some are tighter, some are a bit larger, but it doesn't matter, it's still accurate.
My Para .45's COULD be accurate, but needed specific loads to do so. To me, that is unacceptable since if I need to shoot a match and have to use factory ammo, I want to know it's accurate. Of my Para's I'd say my P13 was the most accurate and my 12.45 LDA was 2nd.
I did sell my double stack Para's because they weren't the right fit for my hands. I get a better grip with the single stack and I like accuracy at longer distances, so the single stacks are better FOR ME. If you have larger hands or longer fingers, the doubles stacks will probably feel great to you. I never tested my 9mm or .40 Paras for accuracy. They seemed fine at combat ranges. Once I got my reloader, I pretty much just stuck to .45's.
As far as the LA SWAT team thing; don't get too wrapped up in the hype of either company. It's all marketing. Go with what you like. I've have pretty much only heard good things about the TLE's, besides finish wear. Buy hey, it's a tool, my hammers don't look to nice either.
Hope that helps.