2009 Yamaha F-250 with say 700 hours. Serviced annually. Thinking of greasing the rods on motor as well as putting electronic lubricant in throttle handle. Concerning in that "if it ain't broke, it is hard to fix"!!!!
It is not recommended to grease the ram rods. You should put a dab of grease on the rod end though. It is also not recommended to wipe the rods with paper towels. The reason to not grease the rods is to reduce the chance of dirt, grime or other contaminants from sticking to the rods and getting drawn into the seals. The reason for not cleaning the rods with paper towels is similar. Paper towels contain abrasive fibers.
With respect to the problem, I would remove the cowling and with the power off, remove the two wires that run from the tilt relay to the tilt motor. They usually have colors marked on them, green and blue maybe?
Using jumpers, connect the two wires to a battery and the tilt moto should run ( up or down depending on how you connect to the battery. Reversing the connection and the pump runs in the opposite direction.
If you are able to raise and lower the motor as it should work, the trim and tilt assemble is good.
The next step is to reconnect the two trim motor wires back to their respective terminals on the relay. See if you can get the trim motor to do nothing. Do not touch the helm trim switch. Using the lower cowl mounted trim switch, see if that works correctly If it does, your issue may be at the helm ow chaffed wires.
If up and down don't work at the cowling switch, your relay may be bad. You can try hitting it a few times with a small hammer and see if that makes a difference. I it does, the relay is sticking and needs to be replaced.
The two more common failure points for your issues are the relay and the trim switch at the helm