I also regularly use google timeline and web history to figure out what I was doing a few months before when I hade a cryptic credit card charge for example.
Watching the whole thing sped up and perhaps you begin to see life, or parts of your life anyway, as the humdrum of commuting, daily to and from the same job, same grocery stores, etc. — back and forth. Then punctuated occasionally, briefly, by a road trip, a trip abroad, or a permanent move to a new city (and new routines, cycles).
And then you get to see if there were ever tiny instants where you crossed paths, unknowingly, with a future wife/lover/coworker. Relatives who die: their traces drop off....
I know, I'm on a tangent here and this app was probably not designed as a tool for some sort of avant-garde pipe dream. But when you asked about why I would be interested in location data, that's what crosses my mind. :-)
My only wish is if I was self hosting all this and not relying on Google.
I honestly don't understand why personal location tracking is not a built-in feature of the modern mobile OS. I'd love to not even have to use a third-party app to work out where I was all week ...