Of course the graphics (including art style) matter, and the graphical limitations don't really matter as long as you can make something good out of it. Some NES games can beat the crap out of some modern games in graphics, for example, the original Ninja Gaiden in NES looks so god damn good, especially the cutscenes.
Ugly games won't attract players as well as pretty games, and in my opinion good games have to have good graphics in addition to everything else being good. A game isn't going to get a 10/10 rating if it's graphics department is slacking, especially if the player has to stare the environments for hours. Good graphics also contribute to a better gaming experience, Soul Calibur, for example, wouldn't be that enjoyable (in my opinion) if it had poorly animated characters, just not that smooth polygons, ugly backgrounds or if it was a text-based game.
And besides the aesthetics, an ugly game can be incomprehensible or very confusing, therefore making it less accessible for new players (experienced players and newbies alike). Sure it doesn't matter so much if you've played it a few times but if you're playing it the first time ever then it's probably pretty frustrating.
Dwarf Fortress is a pretty good example, I wouldn't really call it an ugly game (your mileage may vary, I like ascii art) but it sure as hell doesn't make any sense at the first glance and it takes a while to learn what every character and their different colors mean (in addition to everything else). It's especially annoying if you've had a long break from it and start playing it again just to see that you can't remember what an 'k' is or what a 'b' is.
In conclusion, yes, graphics matter, not only because of aesthetics, but also because of accessibility and a better gaming experience.
Donnyp said:
Nope. I love playing Chrono trigger so.... my answer had to be obvious lol.
It's not really that obvious, Chrono Trigger is one of the most beautiful games SNES has to offer in my opinion, and I believe many people would agree with me. What you're saying is like saying "I don't care about art. I have Mona Lisa on my wall so... my answer had to be obvious."