Setting the scene:
You have a 'chicken feed' fuel system. The pipe from the removable tank descends into a sump that has the tube horizontal to the burners. The level in the sump is kept roughly constant so the burners have a steady supply, not too much or too little.
The tank must be sealed, NO little air hole or it will drain itself all over your feet.
From the start with a dry sump the dip pipe comes from the bottom of the tank so a gulp of air goes up the tube and a bit of meths comes down, just like when you turn any bottle of liquid upside down and teh sump fills.
However when the sump fills up the end of the tube is below the liquid level (it must extend far enough for this or again – wet feet) so no air can get up the tube to let more meths out. As the meths burns and the level drops it is possible for another gulp of air to get up the tube and meths comes down until the tube is covered again.
It is a simple but effective system invented to provide chicken pens with water from a bigger tank because chickens like a shallow trough and won't drink from a bucket or stream.
Issues:
Surface tension can stop the flow. To help the transition from covered to allowing air up it is common to cut the end of the tube off at an angle, 45 or 60 degrees.
it is also possible to use two tubes, both ending under the level in the sump but one from the bottom and one to the top of the tank.
There is often a valve to stop it dribbling during loading.
it helps to start with some air in the tank not filling it right up.
Wicks – assuming the problem is a dry sump not just flow up the wick. The wick needs to be quite loose almost falling out not stuffed in as hard as possible as more wick does not equal more flame.
Join the gauge 1 forum on Groups.io as there was a discussion last year on wicks and Aster steaming.