Omega and other makers didn't always produce technical guides that are as detailed as those you see for modern movements. So they often relied on the skill and knowledge of the watchmaker - you were expected to know what type of oil to put where, and where not to oil, etc. The full technical guides you see today that have all kinds of details are a more recent thing. So most of what you will find publicly available for these movements will simply be parts lists, with no lubrication information. As Chris suggested, using a tech guide from another movement is always a good approach when you don't have information on the movement that's currently on your bench.
Now Omega does produce additional documents other than just parts lists, and even the more complete modern tech guides. These are called "General information for calibers" and usually cover a whole family of calibers rather than specific movements. So information that would apply across a number of movements in the same family. There is such a document for the 55X family, and in there they give information on disassembly, cleaning, and lubrication of the winding wheel. In addition this document lists parts that are mandatory replacements during service, how to make specific adjustments (like syncing the day and ate change on the 75X series), and other useful information.
On the winding wheels for the 55X, 56X, and 75X movements, new wheels come lubricated from the factory. If the date code on the package is less than 4 years ago, then the wheel can be removed and used as is. If it's older than 4 years, it must be cleaned and lubricated again. I replace a lot of these as the pivots are often worn, and as Chris suggested they are not cheap, so it's usually the most expensive part I replace on these movements. Unfortunately although Omega does sell some of the individual parts of this assembly, the main pinion is not one of them.
So specifically for the winding wheel, what does Omega suggest? The general information document refers you to yet another document called Work instruction 40, which outlines rules for lubrication for all movements. In modern watches the reversing wheels are assemblies that can't be disassembled for cleaning and lubrication. You have no choice but to clean them in an assembled state, and lubricate them in an assembled state. Omega recommends using what they refer to as the splashing method of lubrication. For modern reversing wheels this means submerging the wheel in Lubeta V105 - a solution specifically designed for lubricating reversing wheels:
This is a lubricant that is suspended in a solvent, so after dipping the wheel in you blow off the excess with a bulb blower, and let it air dry under a cover, and then install it in the watch. The substitute method is mostly intended for markets where V105 is not available, and there they suggest making your own solution of Moebius 9010 diluted in solvent. Ratio of oil to solvent is 3/100, and they recommend benzene.
Hope this helps.
Cheers, Al
