Safelite used to use Sikaflex, but now use Dupont primerless polyurethane. Same basic characteristics of Sikaflex, just doesn't require primer.
I imagine that most windshield guys will not think the LC is much different from any other vehicle, which might explain many of the 'been doin this for 10000 years I know what I'm doing' attitude. They probably wouldn't admit it, but once they got the old windshield out, they'd realize they're wrong.
There's a Safelite in my town and a few years back, I went there to see about my rear hatch glass to find out if they'd install it with me providing the glass. Got to talking to one of the techs who was old school and had been doing the job for 30ish years. He said Safelites are different across the country with techs and management, regardless of being owned by one corp. and that if you have a "special" vehicle, it's worth sussing out a guy who knows what he's doing to have the glass replaced, even if that means going to a smaller outfit.