Now I might use what ever grease I have on hand just to aid the input shaft into position upon initial installation. But a pilot bushing is, or should be,
oil impregnated metal, "oilite", a material that is self lubricating and generally does not require the addition of grease or
oil to perform it's task for the life of the bushing.
To remove one you could use a puller, or pack the opening with grease and then ram an input shaft in the hole to "hydraulic action" force the bushing out. You could also use toilet paper and water, instead of grease, to hydraulic the bushing out.
Just seems odd that someone would recommened grease on a pilot shaft bearing as a long term solution.