Arland, I've been an active varmint hunter/shooter now for going on 55 years. In all that time I've owned varmint rifles in about every commercial and wildcat calibers you could think of. A Hornet of one flavor or another has always been in my battery, usually more than one.
At present I'm fielding two, a Ruger No. 3 single shot rebarreled by Pac-Nor to .17 Ackley Hornet. The other is a Browning Low Wall M1885 chambered in .22 K-Hornet. Both wear Leupold scopes.
The attributes are low recoil, low noise and blast, cheap to reload. The cons are short brass life due to poor case design/stretching and limited range.
I usually most always rechamber any Hornet that lands in my safe to 22 K-Hornet. It gives about 150 fps extra velocity and much longer case life due to the improved case design and shoulder angle. It usually (but not always) improves accuracy too, probably due to the better case design after fireforming.
The little Ruger wearing her new .17 AH barrel (pure 3,800 fps death on varmint rodents! And the same size as a Ruger 10-22 but with over 300 yard effective range):
A ten-shot 100 yard 17 AH target shot during load workup. Don't let anyone tell you a Hornet is not accurate.
I'd not consider any Hornet a target cartridge, but they are accurate enough for varmints out to about 150 yards. The improved or "K-Hornet" is good for about 225 yards for reliable hits. The little 17 Ackley Hornet has accounted for ground squirrels to 385 yards from my portable BR Pivot bench.
To really enjoy the benefits the standard or improved Hornet, you really have to handload for it. It's really what I consider to be a "fun little round".