It's sort of a given here on BikeForums that folks will use
anything but the factory lubrication in Sturmey-Archer IGHs.
Since 1984 S-A IGHs have been lubricated at the factories with NLGI #00 semi-fluid grease. S-A sells some under their part number and references a commercial brand, but really any NLGI #00 semi-fluid grease meets spec and will do.
Here's the one, the only, Aaron Goss starring in the official factory S-A video of taking apart and reassembling the S-A
A2 hub.
https://www.youtube.com/playlist?lis...S3LtQUkpwQ50TP