I’m on the complete other end. I don’t pay much attention to my individual performances but I love being able to see how I trend over time on specific segments or training intensity and that’s the main reason I pay for Strava.
I track my shoes with Strava, I'd definitely never do that on paper. In fact, just last week I retired 3 pair of shoes that had all gone over 500 miles. (whether this is a good number is another story, but I had to pick something).
I only wear one set of shoes at a time, so tracking their distance is quite a bit easier. If I needed to track multiple sets at a time, I’d be lost without something like Strava. My last 3 pairs (same brand/style) I’ve retired around the 380-400 mile mark, which is about as far as I trust the treads.
For me, Strava is more about tracking my individual runs and keeping up to date with what friends are doing. Monitoring any actual training, for me at least, is easier with paper and a spreadsheet.