I, too, have had this problem on my 420 repowered with a new 23 B&S Vanguard. Even though we have different engines, our problems are probably very similar. It always takes about 10 seconds of cranking before fuel hits and engine starts. I have tried a few things in my attempts at an improvement:
1. I have tried turning off the fuel valve after after shutting down the engine. That doesn't help at all.
2. I replaced all the fuel lines, gas tank grommets, gas tank pickups, and fuel filter. The entire fuel system is new. This, too, has not helped starting performance.
3. I have tried to keep the hood open after shutting down to quicken cooling and lessen gasoline evaporation. That doesn't help either.
Just recently, I bought a marine-grade squeeze bulb with internal check valve. While spacing is tight, it's installed under the battery tray. I know an optimal mounting attitude is vertical for the internal check valve to prevent backstreaming over time, but there wasn't room for mounting in that position. Nonetheless, it can push fuel up to the carb after 2 or 3 squeezes. I can hear fuel move, and the bulb hardens after those 2 or 3 squeezes.
Guess what - this doesn't work either. Starting still takes the exact amount of cranking time as before. In my opinion, the fuel primer bulb didn't help a bit in my application.
Perhaps you will have better luck than I. I would be interested to know if your check valve eliminates your hard starting problems.