Here's the thing about your engjne...
When you took off and replaced the carb, did you install (or was there even still present) the E.F.E.?
It looks like a thick carb gasket with a wire coming off, usually grey plug. In the center would be two recessed metal square grids that sit into the intake surface.
Cold starts the computer heats the wire elements, which helps vaporize the fuel going in aiding in combustion, lowering emissions/unburnt fuel, etc etc etc.
Those are often missing, or, as you may expect, over time the wire grids melt and thus don't perform their function.
Now, what else can lead to fuel smell.... your charcoal canister could have a saturation issue or the fabric pad could have been damaged resulting in granule loss.
Another brainstorm? Instead of pumping the carb ten times, give it a different test. One day do your normal 10 pump routine, but, count how long you're cranking the engine while punching the pedal. Let's pretend it's 20 seconds. On day two, crank the engine for 70% of that time without pedal use. Then, release key, pump 3 times, and turn key trying to start. See if it fires up, or, if you only need to pump it once or twice during the second set of cranking.
That test would be to see if you were having leakdown of the fuel bowl and all that time pushing the pedal, well, if there's no fuel in/at the carb yet your pushing a pedal to release air while waiting for the fuel pump to suck fuel from the tank, to the carb, so on so forth. If that's the case we know other things to look at, and for.
I'd venture you've got a few things going on, amd, have you done the timing gears yet?
