I'll throw my two cents in on this.
A survivor has been used but not abused and thus 'survived' the common damage and use/misuse/modification most pumps would have seen over the years. A survivor retains a high degree of originality of condition so that it stands out from other pumps from the same era which have gone through multiple modifications, changes, misuse, coats of paint, rebranding, sunbaking, etc.
An unrestored pump is a pump which hasn't been restored to a condition as good or better than original. Paint, metal condition, parts, etc are often highly rusted/damaged or missing compared to a survivor.
Some will consider the terms interchangeable, but in my mind they are separate because a survivor retains the edge of originality. So while all survivor pumps could be called unrestored, not all unrestored pumps could be called survivors.
I would not expect the pumping mechanism to still draw fuel mainly due to seals being dried out, but it would need to be present. And I would expect a calculator mechanism to at least reset.
To give you an example in the car world... An unrestored 1957 FI Bel Air which has all OEM equipment intact and actually starts with a little tweaking of fuel/timing is a survivor. An unrestored 1957 FI Bel Air which runs and drives but has a later installed engine would not be a survivor.
The term survivor takes on a deeper meaning once you talk about scarce old things. Anything that overcame the obstacle of time and circumstance to a high degree then becomes a survivor and condition becomes secondary. I have a 1930s toy wind up ocean liner that survived time and a hurricane that I consider a survivor even though it has lost 40% of it's paint. In cases like that condition is trumped by the story.