That little P&G bottle was the way to go. Now I get it on amazon, Super Lube 56104 Silicone Oil 100cst. $4 per oz not like the old school $25 bottle.
It is food grade, so it gets used in the Ninja and Oster blades as well as all fader mechanicals. I say mechanicals because I do NOT use it on the tracks, P&G or carbon in others. Tracks requires a different product for each, a spray lithium(the RS? spray that SSL spec'ed for Ultimation faders, I have to check back at the shop) for P&G and usually nothing on carbon, may-maybe the Caig F5 if it is so scratchy but I am a minimal anything user with faders. Gentle air-blowout, distilled water/twill on the plastic track, alcohol on the guide and brush, tiny oil on mechanicals, let 'em make music.
If the trombone oil is non-petroleum then it should be OK, especially if it is silicone. My rotary valve oil is petro so it goes nowhere near any electronics, especially studio.
And nothing beats a solid vac program with a long-bristle brush attachment to minimize the need to clean faders again, outboard switches, etc. It's the right thing to do.
Mike