If your tank is above the height of the burner, then any filter along the way will leak. I doubt very much if you are sucking in air, but certainly cure the leak. A filter that is fed by gravity will leak all the time if there is a slack joint. What is this filter like? Does it have any names on it like crosland? There may be a bleed screw, but many filters are self bleeding. A picture would help.
If you have a slack joint, a Tiger Loop will not cure it; in fact it will exacerbate the problem, but the bubbles in it will give you a clue. It would also be helpful if you ever run out of oil as it would self prime. Don't go off on a tangent comparing your burner with an automotive diesel engine, it will confuse you even more. I scanned through the thread again. What parts have been changed? Pump? Motor?
What is the distance between your tank and the boiler? What size is the oil supply pipe? After changing your filter, purge the oil line by running off 2 - 3 litres. You may find the supply stutters. If you have a foot pump and are able to adapt your pipe with hoses or tubes, then disconnect both ends and blow through to clear any sludge that may have accumulated in the pipe. If that pipe is 10mm copper and buried, you have no idea how much it undulates.