I had forgot about lube on a steel tank. I never lube the threads on my steel cylinders. Yes, the lube will migrate down a little as the cylinder heats up at fills. Yes, it is also my experience that most shops place way too much lube on valve threads. All it takes is a pea size drop, if any at all. I don't know where the custom of using it on SCUBA originated, but we use none at all on industrial and medical cylinders. In theory it is to prevent galvanic corrosion between the plated brass valve and the aluminum cylinder. However to have galvanic corrosion take place you must have moisture. SCUBA air is supposed to be dry and the cylinder is to always have positive pressure, so....
As mentioned get some simple green or dawn, hot water and a tooth brush. I prefer N2 as it will prevent flash rust. To dry the cylinder fast, it is the best way to use hot water to heat it up.
Dale