Many people on this thread have tried to explain How a custom action is better, the who, what where when and why of a custom being better, and without being satisfied, the question switches to "how much" I DON"T have a PhD, I"m just a poor podunk from KY that likes to shoot. Since all the first questions have been answered, here is an answer to "How much better"
SInce this is tuesday, after high noon in my area, the sun is shining, wind from the NW, temp in the high 80's, my rifle was not cleaned for 23 shots, lot #xxxxxx powder, lot #xxxxxx bullet, Lapua brass lot #xxxxx, Fed primers, I had eggs for breakfast, the humidity is 52%, BC of 278 G7, altitude 455 ft, etc, etc, a custom will shoot .046 inch better at 100 yds measured with my rangefinder, if I am shooting east. However, sicne this is the 5th tuesday of the month before the autumn equinox, the custom will only shoot .041 better. If I had had french toast for breakfast, the difference would be .056(I like French toast)
The point is, there are hundreds of variables that make a rifle shoot or not. A custom minimizes the varibles associated with the action. If you are familar with Bryab Litz's WEZ analysis, He evaluates ammo accuracy changing ONE varible at a time, bullet, case, powder, wind, temp, alt, etc. To do this with an action to find out exactly how much accuracy is effected, you would have to change each aspect of the action individually and evaluate, which would be prohibitively expensive, time consuming, and difficult, so you have to take the custom action as a whole, that on any particular day, it may be, most likely, better than anything else, by an amount that may or may not be quantifiable.
And here is another tidbit: You would think that professional shooters, with lives on the line would choose the best available custom action to be had, but the United States sniper relies on a trued up 700 to defend this country out past 1000 yards. If he had a custom, he might shoot 1/2" better groups, but it would still be center mass.
I always enjoy shooting all my rifles, and I just joined the custom club with a fine borden action. I'll let you know if it shoots better every day of the week, and if I have coffee and donuts, rather than steak and eggs that morning