Ah ok then, I wasn't sure what that white crud was that was stuck to the shaft of the motor. It had the consistency of dried up glue and was crumbly.You ask about the basics of mechanical devices. This electric motor is sealed, i.e. a wheel seal or a grease seal or whatever is called in use today. Proven and highly effective for sealing rotating parts.
It's good that you mentioned the grease recommended by Honda for use on reduction gear journals and teeth. This is "lithium-complex products suitable for high-temperature service". And the recommended amount is 2 - 4 g. This is about as much as you put toothpaste on a toothbrush - a very minimal amount. It practically does not dry out and is effective at temperatures well over 212 F.