Scopes help older eyes get tight groups
I would sight in at 50 yards. The .22LR is very accurate at that distance and even with a cheap scope, you can really get tight groups with a reasonable 22 at 50 yards. There is a real thrill in bringing a target with lots of single hole groups back to the firing line and, for me, scopes make that possible.
After years of shooting, I've found that my eyes just aren't up to shooting tight groups anymore and have gone to scopes on all 5 of my 22 target rifles.
By the way, the scopes have helped me produce lots of single hole 5-round groups during a recent test of 46 different ammos with the different rifles.
Three of us shot over 13,600 rounds of ammo during the tests and were trying for real accuracy with all the ammo so we were all using scopes shooting off benches with a minimum of 15x. The best single group was 0.023but there were lots of groups under 0.2 inches.
The best 5 ammos averaged 0.477 inches for 646 5-round groups shot at 50 yards outdoors.