BLO, tung oil, etc are oils that polymerize, turn hard, as they cure. Using them as a lubricant will wreck the micro mesh as they will gum up and skin over the pads. As a general rule you don't use the micro mesh to sand bare wood as once you get past the first few pads they are removing such a small amount as to be doing little. The structure of the wood being coarser than the pads. If you don't go nuts polishing the CA you won't sand through. Once you get the hang of it you will apply the CA thicker than you need so when you do polish it won't end up smaller that the parts you press into.
A small tip. If polishing a finish on wood make sure you put a little ca on the end grain at the tube ends (off the bushings). It will seal the end of the blank so the water doesn't wick in and discolour the wood.
I suggest you practice applying CA and polishing pieces of wood roughly pen size turned on the lathe until you work out the bugs and are consistent. Then turn pens. The practice will result in more consistency and is a little cheaper than messing up the real thing.
Pete