Those landing gear motors are not very strong, or very reliable.
But if I were to try to lubricate the screw, I would run the screw near to the upper limit, then drill a hole through both legs fairly far down the leg inside the trailer, and spray lithium grease through the hole onto the screw. that way you can rely on the grease getting on the screw and the threaded mechanism too.
Using a zerk may only put grease between the two parts of the leg and get no grease on the screw, where it's needed.
I have heard of someone pulling the inner leg all the way out, and putting some grease on a piece of angle iron, and putting it up against the screw while running the motor. More work, but does about the same as the two holes and lithium spray grease
FWIW, I replaced the single motor system on my Fuzion with the dual motor system from Bulldog. Works very, very well, albeit a bit pricey.
Howard and Peggy
"Don't Panic"