When you checked the primer, did you verify that the carb nozzle has a little fuel pumping out of it as you push the primer? As you mention a warp air cleaner base would cause this not to happen. And you don't have replace the base if you just look at the gasket impression and make up wedge gasket to applied extra pressure in the area of non contact. Don't not over tighten the filter base screws. They are torqued to 40 in/lbs otherwise you can warp the base.
Also note these filter bases can warp over time on their own from aging and heat.