In the end we all want the same valve adjustment, one that is not to tight or to loose, like the Goldie Locks porridge, one that is just right. Walrus I know from your posts that valve adjustment is something you have done before, did you check and see what the valve gap was before you did your adjustment, Can Am service manual for my 07/500 allows the valves to to have a gap between, intake, .0024 to .0055 in and exhaust, .0043 to 0075 and they suggest take the mean for a feeler guage to get a proper adjustment. I am not saying you are wrong just that if you used a .004 and .006 the gap could have felt tight, just saying. i am not sure what gap the 2012 800 call for, it seems 004 and 006 is what you have set yours at.
I see no reason why the motor could not be turned counterclockwise if done properly, the sevice manual suggests to turn the motor counterclockwise when checking the camshaft timing gear marks are parallel to cylinder head base, doing #2 first then #1, it appears to me that no harm will be done if done right. I was told by a Can Am mechanic not to turn the motor counterclockwise with the camshaft timing gear bolt as if it were to come loose and not get loctite and retorqued properly that it could vibrate loose and cause damage. How accurate does top dead center need to be, well with the marks on the camshaft timing gear parallel with head and the 1 or 2 on the magneto I am sure most people would do just fine at setting there valve gap, my thoughts are that the crankshaft could be 5 degrees before or after TDC and still be fine for setting the valve gap but TDC is what we aim for. Turning in direction of rotation puts the moving parts in there best position for accuracy and also it will tighten the 14 mm Allen bolt not loosen it. I do my valve adjust and timing chain tensioner check and adjust at the same time I remove my CVT cover to check clutchs and belt and sevice one way and turn motor over using the primary clutch with spark plugs removed to gap or replace. I hope I have the information that I put here right. I set my valve gap to .003 and .005 and use a .004 and .006 to see if they are to loose and a .002 and .004 to see if they are to tight, a bit more work but it gives me peace of mind that I have them close to right and recheck gap after all is done. I do not run the motor hard or hot.