Mac and Tim.
To start with I said to torque the screw so you can get the scope x-hairs in the optical center if need be. Setting the screw to just make contact does not make any sense to significantly change point of impact. But having it just touching could set up unwanted vibrations?
?
Look at it this way the expansion ratio for steel per 100F is 0.00067 per foot or 0.0000558 per inch and since a barrel can be considered a tube expansion takes place in a radial fashion and the change in diameter will be expansion/3.14. To make a long story short the increase in diameter at the scope rail is 0.0000195" and just a little bit less at the set screw that is if you run up the temperature from 70F to 170F.
You do the math and tell me how much a barrel needs to expand and how hot it need to get to make a measurable change at 100 yrds.
The smaller part of the barrel will expand less than the thicker part at the same temperature because there is less metal to expand if that makes any sense. Whether the part of the barrel at the set screw get gets hotter faster than the rest of the barrel seams conjecture but it could be.
I have said this before that I did bent down the rail overhang and then adjusted with the screw to get to the optical center. This setting has never changed with temperature that I could see. Same as my front mounting base never changes the impact that I can measure, since I have trouble measuring groups in 10/0000.
If you believe that the screw, 2 thou above the barrel, will give you the best mounting system, then so be it, but that was not the idea to put the screw there in the first place. As you know the screw also has a set screw to make sure the main screw stays in place when it is torqued up since horizontal vibrations could rattle it loose.
I have made good use of this screw to achieve the best optical x-hair center. It is the same as using shims under the bases to get the best optical center. I don't suppose I need to explain how to put the x-hair in the optical center of the scope. But I will if some body want to know. It is an important part of proper scope mounting.