Re: No Prime?
Like posted already I think your problem lies in the primer "ball". There are check valves in there like jgriner and Monte1961 said.
Try and get another primer/line to see if you symptom go away.
If the arrows were reversed the primer would keep pumping sucking all the fuel out of the carb until it was dry and would start to suck air. You would start to hear bubbling sounds every pump in the fuel tank. Or it would not be able to suck anything and the primer would deflate and stay deflated when squeezed.
If it was the needle stuck open or not seat , I would think it would spill gas out of the overflow or come out of the mouth of the carb and be a fuel puddle in the engine area.
*Check the engine bay area in the cowling, if theres fuel spitting out of the carb(s) when you do the "endless" pumping I would say carb problem.
*If theres no fuel in the engine bay or spitting out of the carb I would say primer/line.
*Check the arrow orientation on primer.
I know everyone else before covered most of that but I thought I would still throw that out there. More help the better.
Hope that helps and let us know,
DamianJP