I've only been on Strava for about a year, so like others, it's easy for to remember the days before it.
I actively resisted computers and other gadgets, though started using various websites to create maps and log distances. For a short time I used a GPS tracking tool on my phone, but my GPS broke so I gave it up.
Basically, I use Strava - on my cell phone app - because it's convenient. Because I have a competitive/addictive personality, I like to see if I can beat my time on segments - I can't lie there. If it gets to the point where I'm more interested in Strava than riding my bike, it will probably get deleted.