To prove myself right I set a paper plate up at about 30 yards and set up to shoot my Marlin 39A and brought down a box of Winchester T22 target rounds and a box of the cheap Winchester Wildcat. I shot from a picnic table resting my arms to steady. No sandbags or other rest. The rifle also has no optics. It's just too much fun working the lever in rapid fire and the rifle looks so good without a scope. What with my poor, and getting worse, vision that my change but with this gun I am happy with minute of tin can accuracy.
I only fired one 5 round group of each ammo. (Hate wasting ammo on paper with this rifle.) See the target below:

I labeled the groups and the X is over a .38 hold I had previously shot into the plate. I didn't measure the group sizes but it is quite obvious there was a huge difference between the two type of ammo. To really be conclusive I need to repeat this exercise many more times but I have proven to at least my satisfaction it is best to find the correct ammo. Kind of like working up a best load, except you have to do it at the store with money instead of at the loading bench.