You've lost me, how can focus be anything other than infinity when
photographing the moon with a lens attached to the camera?
There is "leeway" built into lenses, to allow for heat-expansion, manufacturing tolerances, etc.
"Infinity" focus is NOT exactly at the hard-over lens adjustment.
If your subject were an earthly one a mile away,...do you think you could easily turn the lens ring so minutely as to be within 1/4 INCH of perfect focus at the 1 mile distance? ( ...or see the difference in the viewfinder?)
The same focus-ring turning error that changes the precise focus plane 1/4 inch at 1 mile,...will change it approximately 1 MILE at a distance of 240,000 miles. Actual average error is very likely to be much greater than this miniscule example. I.e., if you achieve only "within 6 inches" focus at 1 mile on Earth,...you will be off by 24 miles on the moon. Etc.,...ETC!
Such photography is one of the places the new "live-view" magnified focus adjustment may be helpful.
In private communication, Dave Etchells of Imaging Resource reports the "Live-View" focus-ability of the 1DIII to be unquestionably better than the camera's viewfinder (and the viewfinder of the 1DIII is a good one).
If you can not SEE what is happening with such critical focus efforts, you are literally "shooting blind". This is why many sort through numerous moon exposures to find the best one.
Naively trusting a to-the-stop "infinity "setting is almost guaranteed to result in a lesser-quality image. (...and so is the AF "precision" latitude. Imagine what "1/3 of the depth of field" actually means at such distances!)
These issues, combined with less-than-rock-solid tripod mounting, failure to use MLU, etc., account for the poor quality of most casual "moon " shots. The average photographer has not worked through the error-magnification math involved in shooting at such distances.
Auto-everything aside, the best imagery requires educated, CAREFUL work!
Larry ;-)