Yes, there is the scope for a small amount of liquid to go through the pump - but only a small amount and only for a short time. Lets take a few of those points :
Liquid in the vapour line.
Some of this will be drawn into the pump. But immediately the pressure in the line will drop and the remaining liquid will start to boil off (taking heat energy from the pipe walls) and the pump will soon see a two-phase mix. I strongly suspect that the pressure drop from drawing in the liquid through the (relatively) small orifices of the intake and valve system will also cause vapourisation. So the pump cylinders won't see all that much liquid.
Ditto if there is liquid in the cold pump.
As an aside, when I was making my hand pump (
http://www.diy-lpg.co.uk/articles/files ... ed-up.html and earlier linked articles) I found that the pressure drop through inlet valves to be a significant problem. Before I made my own, I had borrowed one thanks to a chance encounter at the local forecourt pump. The guy who made it had used some small non-return valves with a significant pressure drop - with the result that it was hard to actually pump any liquid ! I took the springs out and it worked much better.
Vapour condensing in the pump.
Yes, if the pump is cold enough, some vapour may condense as it's compressed. But the act of compressing it raises the temperature of the vapour, and the time available to lose heat to the cylinder walls is limited - so the amount will be small. The pump itself will soon get quite warm - which will conduct back to the inlet end (see above about liquid in the inlet). Any condensation that takes place after the cylinder outlet valves won't matter anyway.
So yes, there is scope of the AC pump to pump a small amount of liquid, for a very brief time, when starting up. I assume the pump designers will have considered this. I cannot think of situations where it would be a significant amount, or happen for more than a second or two during pump startup. Once the pump has done a turn or two, I'd expect the amount of liquid to be minimal or none.
If you wanted to try pumping liquid then it would work. You'd wash the lubricating oil out fairly quickly, but it would work. I have no idea how long it would last without lubrication. Incidentally this is a problem with diesel systems where the injection pump is lubricated by the fuel which is a poor lubricant - made worse by modern low-sulphur diesel being even worse in that respect !
You'd need to keep the speed down I think to avoid too much pressure as liquid is forced through the outlet ports/valves, but not too slow so as not to give the liquid too much time to absorb heat and vaporise as it gets drawn through the inlet ports/valves. The pump shouldn't overheat as it'll be liquid cooled (as long as you don't run it dry), but I would expect it to wear relatively quickly.
Mind you, that's all assuming it's a piston pump with flap or poppet valves. A roller or vane pump could be a different matter as there is a period between the point where the pumping space is reducing (ie a roller/vane is on it's "compression stroke") and where the outlet port opens. Where they are pumping liquid, the ports will be arranged to only close just before (inlet) and open just after (outlet) the point of maximum volume. But where they are designed to pump vapour/gas then the outlet port closes later - to allow the gas to be compressed before it's expelled. If the port opens just after max volume - then there's a backflow of gas from the high pressure outlet port into the roller/vane space which means the pump is pumping against full outlet pressure through the whole cycle and efficiency drops.
As I've no idea what sort of pumps are used (other than the multi-cylinder Sanden types on old Range Rovers and Discoveries), I can't comment further.