I have a CMP Remington M541 X target, and I looked at Wiki's article on the
Rem 513, and heck if I know what is different between the rifles.
My rifle is relatively light compared to the Win 52's, and Anschutz rifles. Mine shoots well, as it is new, the action is stiff, and I did not shoot it enough to slick it out. I do not remember if the trigger is adjustable or not. The stock is long, as I recall, might have to buy a cut down stock for the daughter. The rifle is inherently accurate, will hold the ten ring at 50 yards. Mine came with a horrible Williams rear sight. This sight has a binding screw on the elevation base, if it is not tightened, the base rattles around. Who ever adapted the thing to a target rifle assumed that the shooter had a screw driver, and broke position every shot to adjust for elevation. It is a terrible rear sight and what is on this rifle, is better.
I believe that when these rifles were made, the NRA rules required a 3 pound trigger. Maybe it can be taken down to two pounds, as in the rifle in the video. Which would be fine for a new shooter. However, for an advanced shooter, these guys are using triggers that break in terms of ounces. I don't know anyone running an eight ounce trigger, that is too heavy!