Not really.
I run it with a 24" 1920x1200, my parents even bought a crappy Full-HD display that only does 1920x1080.
I will buy a better display at some point but I really doubt that people buy 3000 USD reference displays for their 700 USD MacMinis.
Neither will I. It can drive a 30" display at 2560x1600 - that's enough for probably more than 95% of the Mac-buying population. And the remaining 5% probably wouldn't buy a MacMini anyway, even if it did 4K@60Hz.
And don't mention games.
Most people that like to play computer-games have learned to play them elsewhere (consoles, a gaming PC).
TechZeke is correct. Apps like Photoshop CS6 behave better with improved graphics horsepower. On my 2012 MBP playing a video or EyeTV switches graphics to discrete. Too bad my 2012 mini doesn't have the same, relatively weak dGPU that the MBP has. As a $100.00 option it would have been another Apple option-ripoff which I would have gladly paid.