Why would anyone spend $350 on a pair of headphones? I typically spend $10 to $20 for headphones.
if you have perfect pitch and notice a lot of stuff most don't and it bothers you it is worth it. It is more than just psychological, some folks have much higher density mapping in certain areas of the brain and will be oversensitive compared to average on such things. They are a very small portion of the market though and many work in industry fields where they can get the gear paid for via work. I do notice such things myself but find many who tell me they can tell such differences can't and it is more more money = better which is myth. Bose are shite. You don't get what you pay for, you get NO MORE than what you pay for, in bose case you pay very high price for low value headphone.
Just because you don't notice the difference doesn't mean no-one else will, conversely many who say they can often just think that but cannot as pychology plays a part it just isn't the only factor in every case. Same reason pro musician may spend a LOT for say a Dominique Peccatte violin where average person cannot tell the difference between a student level generic one and that. The difference exists just most wont notice it, and some buy it because they know it is chosen by those who do hear such differences.