I more and more believe you have to have grown up and had specific life experiences that enable you to enjoy Gone Home immensely, and it's one that a lot of game reviewers share.
While I sort of grew up in the 90s (I was born in '87) I was never a girl, have not had to deal with being gay and have no one I know personally that has and most of the cultural touchstones in the game are foreign to me. Yes I did own a SNES, but I really wasn't into games at that time like I was later in my life, I never read magazines at al let alone Nintendo Power (which seems more in line with my gamer friends early gaming lives).
At most I knew what that eye crossing thingy was, and I know what the x-files is, though I never really watched that either.
All in all I think while I COULD have had a lot of those moments based on my age I didn't.... the characters and just straight up raw empathy that they beg the player to have kinda makes those things moot.
If anyone says that those cultural things 'make' Gone Home what it is... they are missing the entire point in all fairness and doing disservice to the abilities of themselves and of others to empathize with human emotion across any petty barriers like era or age or anything. Those things merely color what is at it's core a very moving experience.