I’d always go 2" - just make sure you don’t be stupid with it and try and tow something above your vehicle’s rating. And if you are hauling a trailer, make sure there’s more weight on the tongue of the trailer, you do NOT want it rear heavy.
When you don’t have a bike rack on the car, being able to use one of the nicer hitch carriers (pakmule) as well as more variety in what you can hitch up / tow makes it worth it. (Bed Extenders that fit in the 2" hitch are nice if you want to stick a kayak or long boards out the back too)
If I had a car where they made one and I wanted to preserve the aesthetics, I’d be looking at a Stealth Hitch (Pretty slick and they make them for Luxury Cars/SUV’s, Teslas, etc.). But, I’ve always driven more rugged SUVs and trucks anyways, and my new truck has a 6.5’ bed, a cap, has a diesel, and can tow almost 10K pounds so I’m not sure there’s much “stealth” about that.