As of right now, the Order is being implemented in over 400 agencies in the department of interior and all of the national park systems. The lawsuit is geared towards national park systems so one would logically assume that they would be the first to revoke the allowance of eBikes on nonmotorized trails. The BLM still has all of the info regarding following the Order on their website, none of which is referencing a lawsuit holding things up. The agencies who are continuing the blanket ban on eBikes are violating the order that forces them to treat eBikes as regular bikes.
As of right now, you are the only source of info that the Secretarial order is being held up by the lawsuit that was directed at the national parks. So far, all those agencies are greenlighting ebikes. If the lawsuit had teeth, those agencies would have pulled all info suggesting eBikes are equated with regular bikes months ago. You might be absolutely correct in your assessment that the order is being held or rescinded by the lawsuit, but all indicators point otherwise, and you are the only person on the internet who has said that is the case, which makes me skeptical. Unless you are a spokesperson for the BLM, or quoting them directly, I would hold off on assumptions being passed on as fact.