A lot also depends on whom you send the gun to for refinishing.
At Lassen College we were taught to polish our guns on the buffer wheel. That of course could remove marks (which we avoided by applying less pressure). At Trinidad State everything is polished by hand. I saw an engraved shotgun that the instructor was polishing (we worked our on project and when we didn't bug him with questions, he worked on his own project). Anyway, the engraved shotgun was reblued and you couldn't tell that any of the engraving was removed. He's that good. My point is to be careful who you take it too.
Vigilantibus et non dormientibus jura subveniunt. Molon Labe!