To begin with, I don't see how this is any different than corporate sponsorship of ballparks/arenas. Many sports teams were synonymous with their venue, which isn't a thing anymore. Are there any studies that show any causation of naming rights of stadia with decreased attendance?
I'll admit that I'm biased. Even though I'm American, I've followed European soccer for the past 20 years or so. Kit sponsorship is part and parcel of the sport. In fact, I even think of some eras of my club based on the kit sponsor, i.e. Dreamcast Arsenal vs O2 Arsenal.
For those people (or person) this to Nascar in a few years, I can only assume you were using hyperbole. The NBA is certainly smart enough to limit the amount of real estate available for advertisements. Is there any indication that unlimited ads is the future, or even that these small ads will lead to something bigger?