This is not suitable for lubricating splines. Its Composition based on the MSDS sheet is:
Highly refined mineral oil,
Lithium soap,
Solid lubricants,
Polyisobutylene and additives
There is not molybdenum sulphide in that list.
You need to select a product with at least 60% molybdenum sulphide, like Honda MOLYKOTE M-77 paste, Blackdog Moly or similar.