It's strange stuff if you've never seen it before. You'll know it if you find it. Not a lot, there's enough to be gluey in an essentially zero clearance fit. You can usually tell by dragging (not pushing) a utility knife blade across it. There's always some rust in with the pitch, but it feels different. Or some solvent. There's no miracle solvent for it, but most solvents do "something" to it, then you'd know you're on the right track. Turpentine is allegedly very good, but I've never kept that. WD40 is kinda half way effective at it, so keroseney stuff, or zippo fluid, or kingsford lighter fluid maybe... I suspect gasoline might do OK, but it'd be kinda dangerous for you to find out. For certain, it doesn't clean up "easily", but if you've got any non abrasive kitchen grade scotch brite (the sheets, or attached to the back of a dish sponge) kind of agitate the solvent into the pitch.
That's about how my press apart episode went. That was shortly after I moved in here. There were no proper presses The only press around here was a giant box containing most of 400 elm dowels that nobody else wanted, and the number one tool. (the swing press?) I got it loosened up in a very mild oven, and just kept working at it.
I think if I had had a three ton arbor press, and a way to fixture that thing, that I'd have probably tried it. I can't picture how that'd work, but you tend to get really good feedback from an arbor press. Dried pitch is not nearly as "hard" as genuinely "frozen" parts that have rusted in place.
As for oiling it... I've got mixed feelings. I never did anything to mine, even though it's been through several "taking aparts". At first I was gonna, then I wondered about attracting dust, then I thought about the fact that this trunion/plunge design was first discovered in an archialogical dig amongst a collection of archaeopteryx bones, there was no oil, and the pins weren't worn out. On the other hand, because something stuck, obviously something changed. I don't have a good answer for that one, I've just coated with 3 in 1 oil before I put mine back together.