I say try a poop sized dollop in the bottom pipe as far as you dare
push it, plugging it up, then flush slowly with a minimum of water.
Chances are two of three times that it will get pumped and slathered
through all the areas that need it. Would hot water help, d'ya think?
Might work out better than dissassembly again. That stuff floats,
right? Does that mean we can hope to sequester a dollop in the top part
of the pump, to bounce around for a while, doing it's work?

Now, about the environmental aspect of flushing all those hydro flouro
carbon artificial teflon greases...

How about bacon fat, or even vaseline?

Terry K