C. J.
I can only give you a partial answer here and it's inre. to oil soaked military stocks. Actually part of the problem with these is cosmoline and it was common to lather surplus rifles in it before they were put into long term storage. I have restored rifles caked with this goo and suspect that they had been in this state for decades. Easy Off just seems to boil this right out of the wood. I have also used several washes with mineral spirits as a final cleanup. My usual procedure to refinish a military stock is to then use multiple coats of tinted oil.
Many stocks that I re-finished years ago show no residual effects from this treatment that I can detect. I don't know if there would be any problems with a re-finish other than oil as I rarely use anything else.
Jim