why would you want grease on the splines of the FHB?
chain lube manages to work itself onto the splines no matter how meticulous a cleaner you are.
Wow, how much chain lube are you using? It's supposed to go on the chain, not the cassette right?
I usually put a drop on each link end. Nothing more, nothing less. I run it in then wipe it off. The only cog with any lube on it is the one that the chain is running on when I lube it, and only a little. I'm sure some gets on the cogs and hub eventually, but only a little.
A friend of mine though thinks the stuff is gear lube and liberally coats his entire cassette. I think he's a few cards short of a full deck...