From my own personal experience with modern wheel-set's in the last few years:
I have Hunt 32 UD's on my Wilier road bike which are reasonably shallow and that bike does accelerate noticeably quicker than my other two road bikes but maintaining anything above 25 - 30 mph is also noticeably more watt-consuming than with my Zipp 404's. It's my go-to bike for very windy conditions and long climbing days. It's light and agile.
On my Trek road bike I have a pair of Zipp 404's and at 58mm they are lovely for sprinting with and maintaining higher averages. For sprinting you want to be able to maintain the speed you build up to for as long as possible and circa 60mm or thereabouts is the sweet spot depth for acceleration vs holding speed. My Pinarello road bike has a choice of Dura Ace C50's and Zipp 454's.
So...there is a clear and noticeable difference that the average non-pro 55 yr old can appreciate between a 32mm and 58mm deep wheel-set where there is only about 200g weight difference. This isn't marketing, this is User-verified fact.
How much that difference means to the individual though very much depends upon what type of cycling they do. Obviously, Club and racing cyclists will appreciate it whereas a Commuter or Tourer may not given their bikes typically have other design priorities and speed isn't a thing as such.
The difference between the C50's and 454's is more subtle. There we are only talking about 8mm in depth difference so the advantages of the 454 are that their wavy design from shallower to deeper allows them to have a mix of characteristics and behave like a much shallower rim - you effectively get a 40-45mm wheel-set's acceleration, weight and cross-wind handling with a 58mm wheel-set's ability to hold speed and save watts. Again, an average cyclist can notice the difference but it is only at speed and whether that difference is worth it depends upon needs and goals.
Many for whom these differences won't matter much, if at all, and who have never actually ridden 1000's of miles in trying them, like to think that it is all marketing nonsense and only relevant to Pro's where marginal gains can make a more significant difference. They are however, wrong. Average cyclists can feel the difference and it can have a noticeable effect upon how a bike handles and how much they enjoy riding it for a given course.