It sounds like one of your hose connections is loose and you are sucking air into the line somewhere. Sometimes new hose will seem tight, and then the clamps or hose will relax a bit and let some air in. Some folks double clamp fuel connections to prevent this. The fuel pump and also the bulb will pull air before it pulls fuel. Check your connections and clamps - make sure they are all well-seated and tight...
Tip #1 hold the arrow pointing skyward so gravity helps pull the check valves closed until fuel reach the bulb.#2 Primer bulb after fuel filter. Just prime the bulb before changing the filter AND prefilled the new filter with fuel. I've never had a problem priming after changing filter (see tip #1)#3 ALWAYS buy name brand OEM primer bulbs (Mercury or Johnson Evinrude) After market ones just don't last work work very good compared to factory bulbs. The needle and seat in your carbs should help back flow (when the floats are full) as should the check valves in your fuel pump. It should not take that many pumps to prime your motor, you must have an air leak. If you can get rid of the hose clamps and replace them with Oetiker style crimp clamps. You can get a setting tool set from Amazon. They seal MUCH better than worm gear clamps. Since they cannot be reused be sure to carry a handful of hose clamps in your onboard tool kit incase you have to replace one while at sea...OH tip #4 carry a small tool kit onboard for emergency repairs.
BTW Racor suggests the primer or any "transfer" pump should be located after the filter. The reson is the pumping action can emulsify the water in fuel and/or force it thru the filter.
. . . .perhaps it was the primer bulb I replaced.
Wish I could report back with what the problem was. The past two times using the boat the primer bulb would become firm after only squeezing 5-6x. So I don't know what was going on, perhaps it was the primer bulb I replaced.