Graphics are an important part of the industry. Not more than gameplay, pacing or level design, but anyone saying they don't matter at all isn't really looking beyond there own interests.
Graphics can make characters and environment feel more real and believable and can make the game world more immersive. Kratos in God of War 3 feels more real than in 1 or 2 and that improves the immersion. The set pieces and scale of the game is also more epic due in part to graphics improvement.
Drake also feels more human in Uncharted 4 than he did in 2 or 3. That definitely improves the immersion.
GTA V's world feels a lot more immersive on PS4 than it did on PS3. More foliage, better lighting, more varied fauna, resolution and framerate all improve the experience.
Graphics aren't the be all end all of games, far from it, but gamers are quite thankless for all the improvements in video game immersion that have come due to the industry pushing the graphics. Deep within many people who say they don't care about graphics actually do and you know that when they are disappointed in a game due to the graphics not being upto their expectations, most recently with the GT Sport pre E3 trailer. Also GT 5 and 6, graphics seemed to be the main sore point of these games where they were heavily criticised for it despite having some of the best in class physics and gameplay.







