Your Leupy 1-4 x20, is that the Freedom? Weighs like 9 oz or so? I have used that scope and it's nice, I think you'll like it.
Good groups to me!! Nice shooting.
Great looking gun and scope.
I might suggest you stay away from FMJ rounds though. Just me...…
My suggestion for an accurate and good performance hunting load is one of the 165 gr premium loads. Google "165 grain 30-o6" and look around. Stick with high quality ammo and the gun will love you.... LOL
Good luck with your rifle.
FWIW, (have not read beyond the above) I have 03a3 barrel and action I crafted into a sporter, 15 years ago, shot MOA then and still does...but you never know. Some get shot; some not!There are 03 Springfields out there that will still shoot decent groups after going through 2 world wars. I wouldn't worry about shooting the barrel out.
+1.Dont worry about the barrel. If it got normal care, its fine, especially in a single shot. While I am aware that every single shot shooter does a mag dump every shot, we typically are more cognoscente of not overheating rifles, proper cleaning, etc. Single shot shooting is a mindset.
That said, Ruger #1's can have some little idiosyncrasies. So shoot it with a couple different brands and bullets and report back. If accuracy is not what you want/expect, there are some tricks, but lets see what it can do first.