It means luxury car brands, not luxury service. This is right in the post.
I assume the Op, being a programmer and not a car mechanic, just assumed they mean the same thing.
The entire discussion here about how AI undercuts luxury brands has absolutely nothing to do with the actual post.
Admittedly I missed this distinction, but does the point still stand?
A BMW owner has fussier standards (on average) than a Toyota owner. The 'higher touch' a service you're trying to provide, the less welcome these interventions will be. If there's a distinction between a normal-car garage and a luxury-car garage, this probably comes down to some sort of licensing or certification from those luxury brands. Seems plausible to me that luxury brand X could stipulate things like availability of human contact points.
Re: not being a car mechanic, it's true, but I'll have you know that I replaced my own blower motor a few months ago :)
In America the normal term is "European", not "luxury".
It would be somewhat odd to specialize in both American and European luxury cars. It'd be significantly less odd to service a RR and a BMW 3er next to each other.