That gun must have had problems. Every 2250 I've ever seen shoots in the low to mid 500s with mid weight pellets if its not leaking or otherwise impaired. That gun may also have had the Canadian power-limiting valve in it. Those guns are limited to about 490 fps by Canadian law. The gun may have been originally delivered to a dealer in Canada and resold to a customer in the US, a common occurrence.
550 fps in .22 is plenty for squirrels etc. There are many hundreds of Benjamin and Sheridan owners who regularly take small game with 5 or 6 pumps. For those guns thats in the mid 500 fps range. It doesn't take that much power to kill a squirrel or rabbit, you just need to hit it right. I've taken rabbits at 25+ yards with a 40 year old Diana 22 in .177, shooting 7.9gr wadcutters at 460 fps. One good head shot and lights out. Woodchucks at 20 yards with a Crosman 2100 (625 fps .177) are not a problem either if you can hit where you're supposed to. I can't even count how many squirrels I've whacked with the 60 year old Crosman 102 pumper either, and that shoots midweight .22s in the low to mid 600s. This power thing as I see it stems from the tendency of weekend shooters to try replace skill with technology and power for accuracy. Next thing you know, unless your gun is the latest $700 whizbang that shoots at 900 fps its no good for hunting. The 800 fps you quoted is fine, but you really don't need anywhere near that kind of power to hunt effectively if you know how to use the gun properly.