the hot water treatment is to wash out the old (probably gunked up) lube. You can't use boiling water as that may affect the nylon washers (very thin - less than1mm).
That itself (w/o any lube) may be sufficient to smoothen out the action (I don't think there's a real need to lube FRN spydercos).
However, for extra babying....you may proceed to use a little lube. After that you've got to disperse the water (hair dryer), then whilst still warm, apply militec / lube. The residual heat somehow "improves" viscosity of the lube, thereby ensuring that it reaches the nooks and cranies.
Remember, a little lube goes a long way - too much, and it gunks up.
Try militec - it's the best lube in my arsenal thus far.