When replacing bearing grease with metal grease, does the grease adhere to the surface of the bearing outer when it is sealed, reducing friction between the bearing case and bearing outer and causing the bearing to run dry?

Unlike our other lubricants, metal grease is not an extreme-pressure lubricant, but rather an individual lubricant.
If your application involves heavy industry, water, or heat, metal grease is the right choice, but if you are considering using it on rotating parts such as wheel bearings in automobiles or motorcycles, we recommend LS Bell Hammer Gold Grease.
Metal grease is recommended for parts with a small moving range and heavy load-bearing parts such as stems.

Also, for press-fitting bearings, if the case is heated and the bearings are cooled during normal installation, there is no risk of spinning.