I've been "packing" actions for many years with Mobil1 grease . . . for everyone . . . including the racing crowd!! It keeps fouling out (because there's already something there), keeps the parts lubed and protected. What it doesn't do is "gum things up" or turn to "tar" ( it's synthetic not conventional).
First of all, you can't run a SA fast enough to "out run" the viscosity of the grease . . . so nothing slows down. I've set up a few full time fanners and yes, they were packed with grease. Secondly, all the action parts move slow and not very much. Best of all, the action needs no cleaning and the cowboy shooters are told to check it once a year. As everybody knows, cowboy shooters shoot much more than the average shooter that actually shoots!
Mobil1 maintains its viscosity from -58° to 475° . . . I doubt anyone will be shooting outside those parameters.
I found it BECAUSE of the cowboy shooters (customers), turns out they had been using it for yrs. Things like Bore Butter (chapstick) and animal renderings will definitely change consistency in a rather small range.
So with all that going for it ( not to mention the huge majority of my customers agree) that's what I use because it works as advertised!!.
Mike