I have tried various motorcycle lubes at times in the past. Anything that worked reasonably well on a bicycle chain in wet weather also picked up a lot of dirt, so not good on an exposed chain. It might be different under a ChainGlider.
I think that the motorbike chain lube you have quoted would be fine on a modern motorbike chain, which is what it is designed for, keeping the side plates rust free and the roller / sprocket interface lubed - but I don’t think it would get into the rollers of a cycle chain.
The technical data sheet for MOTUL MC CARE C5 Chain Paste says "All types of chains:
standard and with O-RING, X-RING, Z-RING.", so I'll give it a try.
I have one motorbike with a chain (I prefer shaft drive) which is a low powered 411 Royal Enfield Himalayan, used on and off road. The chain is the OE one with O rings but I have fitted a manual chain oiler to drip ATF fluid onto the chain to ‘wash’ dust off. I have tried using heavier gear oils but they do not clear the dust - ATF is very thin.
My brother has a Scottoiler system on his off-road motorbike. This drips oil (Scottoiler brand) onto the chain. Works for him, but not on a bicycle (I tried).
So personally I now use a thin ‘wet’ cycle oil on my 2 bikes that have chaingliders and drip it onto the rollers.
I do the same on my own bikes when the KMC factory lube has worn off. Quick and easy to do.
But dismantling/refitting the ChainGlider can be challenging for a user with no mechanical aptitude.
Under a ChainGlider the slightly sticky factory lube on KMC chains works for a long time, but after a lot of use in salty and/or wet conditions it eventually needs renewing with something. So I need something that lasts for a few weeks even under very wet conditions.