Bobba said, " Using bees wax is a great idea, but I wonder if it may become too runny if it gets hot and melts. I may give it a try next year and see if it is ok. "
I would like to venture an opinion, even though I have not seen an extractor of the type you mention.
Purely from a mechanical point of view, when two metal surfaces form a moving contact area, there will be some friction which will cause some of the metal to be worn (and to form a black "powder"). When a suitable lubricant is used, there is a fluid layer, which may be ever so thin, that prevents metal-to-metal contact, and therefore no abrasion of the metal.
I think that the use of beeswax as a lubricant is a very appropriate idea. If that spindle mount gets hot enough to melt the wax (above 60C), then just think of how hot it would get without lubrication (and how much frictional wear would occur)! The biggest problem might be if the beeswax remains solid, and does not form a protective layer between the metal surfaces.
If you use beeswax on the spindle mount, even if it does not get hot enough to melt, then hot wax is very slippery and would be an excellent lubricant. Moreover, if any of that wax were to get into the honey, why should that be a problem? The honey which you are wanting to harvest was stored in wax by the bees. Beeswax and honey are completely compatible substances