On an individual driver level, glass should be either a comp claim or a separate type of claim on your policy, so it shouldn't raise your premium. However... as a whole, in the entire market of all drivers, yes... more claims will mean an insurance company needs to raise their premiums across all markets/drivers to keep making profit.
It matters for a couple of reasons. First, when you file a claim the insurance company gives you an estimate for the repairs. If the actual cost is significantly higher than what the insurance company is estimating or willing to reimburse you for, you might find yourself on the hook for the difference in cost. For example, my insurance company (Geico) gave me an estimate of $1200 for my windshield replacement. But the dealer wanted more than $2,200. I would have been forced to pay the difference or enter into a lengthy and drawn-out negotiation with my insurance company to get them to pony up the entire cost.
Second, saying who cares the insurance company will pay it, causes problems for the entire insurance market as a whole. Just like heath care. Go to the hospital and if you have insurance, the bill is like 75% more than if you were to pay out of pocket. Why? Because "who cares, insurance will pay it" and the hospital can charge more. But that leads to a lot of problems and drives up the cost of health care and insurance as a whole.
At the end of the day, I'm not personally ok with a dealership charging thousands of dollars MORE for a simple glass repair just because insurance will pay for it. Even if my deductible is only $50. Why should the car dealership be able to scam money out of my insurance company? I have principles.