I use Hotchkis super grease on all the poly and Delrin stuff. Lots on the poly, just a light assembly coat for the Delrin as it’s supposed to be self lubricating.
I know that you’re not supposed to use petroleum based grease for poly or Delrin. But in thinking about it, both of those materials are pretty resistant to most chemicals, so I couldn’t tell you why. I’ve just always used the recommended silicone based grease.