Problem is we are not talking about savages and 50mm objectives or Nightforce scopes on Remington's.
Courtesy of the barrel nut on the savage your barrel steps down quit a bit from the action diameter to the barrel diameter. A step that is near non existent on a Cooper so the comparison is useless.
A Cooper 38 action is only 1.157 in diameter. The barrel starts at an inch in diameter and at the approx area where the bell of the scope would hit, the barrel is still around .980, a fairly straight taper. That means, if you were to draw a straight line from the top of the action out over the barrel, the place where the bell of the scope would be... There's less than an .100 gap. So you can see that comparing which rings are used on a savage or a Remington means nothing as to which rings will fit the little Cooper.
Now.. If we knew the exact outside diameter of the 44mm objective we could then use the math to figure out exactly which rings are needed. I'm still betting highs.