Damned good shooting with scope let alone iron (my eyes won't do it though I was good at one time with em)
I got a 6 shot group at 1 1/4 the other day with the Eddystoner (bad spelling cause I like it!) with an SK scope mount. Its that odd mix of it allows me to shoot, but it so high you don't have a cheek weld. Floating head hold or chin on stock and try to get stable. I did have one wild flyer form cold barrel so have to try a throw away in the future. Still it allows me to shoot at 100 or better if I ever get to the long range.
With the right trigger control they can be very accurate rifles. Maybe not quite 1903 (scope to scope) but iron sight to iron sight the peep should win.
I will add in that I hand-load and was using 168 gr Sierra Match with 52 gr of 4831. Satisfaction as the primers were 30 years old as was the primers. As long as kept cool and dry they last forever.
Deliberate on using lower velocity loads to be easy on the barrel as its a sub 1 for TE and MW and will be my main shooter until I can't anymore.