The only time I shot my hornet for groups it was really windy ind it still managed 1.25" to 1.5" groups (winchester and hornady factory ammo respectivly) and really most of those group size was wind drift. So I think the answer is you have a very good chance. There was an article floating around a while back comparing the handi hornet to the A TC hornet I understand the handi did very well.
I think you'll find alot of happy hornet owners around here.
Even though there are plenty of higher performance varmint rounds out there (223, 204, 22-250, to name but a few) the hornet still has it's place. I really was impressed with it when I took it on a jack rabit hunt this past Christmas, sure I could have used the extra range of my 204 sometimes but I ended up with more of the rabbit left over after the shot with the hornet.
What is you planned useage.