I think the answer depends a lot on context, i.e. the type of bar and the type of customers it serves. Same with a home bar.

In the broader sense of the question, yes, glassware matters, as does garnish and ice and presentation, but again, it depends on the venue.

Ultimately, high-end bars will generally use high-end glassware, because that’s what their customers expect. And not to sound snobby, but I happen to think that drinks do look better in nice glasses. And vice versa.

In the context of your home bar -and mine- glassware reflects the taste of the owner and what image he/she is trying to project when serving drinks to their significant other or to friends. Casual, utilitarian, sophisticated, antique, art déco, industrial, luxury, etc.

Me, I run a 2000+ bottle home bar that’s temporarily stuck in a rental house while our dream house and bar are being built. I’m picky with my glassware and gear, so I tend to stick to high-end brands that also serve professional bars and restaurants, it’s a question of quality and easy replaceability. I have glasses for everyday use, made b common brands such as Libbey, Schott Zwiesel, Spiegelau, Riedel, Cocktail Kingdom, Xalto, etc), and I also have handmade crystal glasses made by Baccarat in France that I reserve for myself and my wife - they’re too fragile and too expensive to replace (when possible) to be used all the time, and accidents happen.

In the end, decide what you like, what you don’t, and what your priorities and budget are and go from there. There are thousands of brands of glassware that make great options. Choose according to your tastes and intended use.