PFV:
No, I haven't tried any of the lighter stuff, the 7.8g Crosman Premier's are standard fodder, and are really accurate. The TX will group <1" @ 50 Yds if I do my part and there isn't any wind.
I've got an older FWB 124D that's only slightly less accurate, and I can't tell you how many pellets have been thru it, I'm guessing over 10K. I've had it since it was new.
1 MOA @ 1K? 'come on, you can do better than 10.47" group on a good day!

Practice my friend, plus good equipment will shrink those group sizes in half. Heck, if I can shoot a strange gun @ 685 Yds and put the first 2 bullets 2.85" c-c without practicing, you should be able to do better with practice!
pics on page 1 I did cheat a little, I was shooting from a bench, with the gun on a bipod in the front and a bag under the stock. 10x Leupy Mark IV scope on the 7mm, 5.5-22-56 Nightforce on the other guns.
If you want to get some cheap practice in, see if there are any Field Target shoots near you. It's a humbling experience, I tell ya!
There are 2 painted turtles in the pond now, and one snapper. They'll be left alone unless they take after the geese and start multiplying like rabbits. There were 8 geese on the pond yesterday, and that number doubled today. I'll leave them alone for now, I need some food for a good bloom.

Besides, if they stay around until Sept. 1, then I can put 5 a day in the freezer!