Ok this same thing happened on my 06 skeeter and I replaced the fuel line and bulb from the tank to the motor. It didn’t fix the problem. I took it to service marine in Emory and it ended up being the pick up line inside the tank. It split at the top and was sucking in air at idle. Once it would start I could put it in gear and give it throttle and it would run fine, just not idle for more than about a minute. I would pump the bulb and get it running and then go. He cut off about an inch where it was cracked and hooked it back up and never had another problem. That was a lot cheaper than replacing the whole sending unit. I just had to remember that I would run out of fuel and inch early.

I had similar issues with my 250 xs few years ago, bulb line issue ...no issues since

Another possible problem would be the anti-siphon valve at the top of the fuel tank. The valve is spring loaded and a weak fuel pump may not have enough suction to pull fuel past the valve. Removing the anti-siphon valve solves the problem. However, you're not supposed to do that.

Sometimes the pickup tube has a filter (small screen) inside the tube and trash will clog that filter. After the motor dies, the pressure is released, the trash falls back down the tube and fuel flows again till the trash collects.

My friend had the exact same problem after idling for long periods of time. He couldn’t figure out what was causing the problem. A mechanic told him to change his primer bulb. He changed the bulb and hasn’t had a problem since.

Was idling along and it started to idle rough then died. Wouldn’t start for 5-10 minutes. The I pumped the bulb a few times, heard a hissing sound and she started back up just fine and ran like a champion. Fuel line leak?