You're actually allowed to do both, if you want to.
Sounds crazy, I know, but you
CAN enjoy the view for as long as you like
AND take a photo (or more than one! Gasp!!), if you want to. It's not like they're mutually exclusive propositions or that you have to decide to only do one or the other.
Some of us like to shoot, even touristy stuff that's been shot a million times. Some of us like to see if we can shoot it as well as what we'd see on a typical postcard, or maybe even better. We call that a "hobby", and find it to be "enjoyable".
In the several years since I shot this and about another couple hundred photos around that valley, I've never been sorry that I did - not even once. I still enjoy looking at it, and it still takes me right back to the day I was standing there, feeling the breeze and enjoying the scenery in real life. It's a single capture of a much larger memory that I treasure that transports me in a moment back to that place.
The 13" x 19" print that hangs on my wall in a matted frame makes me happy too, and I notice that a lot of other people seem to enjoy looking at it for some reason.
Hard to believe, I know - should've just bought a postcard...