The boiling point for gasoline is around 185 degrees. If the gas in the oil was boiling off you may see vapor or smoke coming from the oil fill when you remove the cap with the engine running. If your getting blow bye that will also cause a faint smoke from the oil fill with the cap removed. Yes the crank case should remove any vapors from itself, but that’s under normal conditions. If it’s burning gas in the oil too it can exceed the ability of the crank case vent.
If your smelling exhaust and gas under normal conditions I would bet there is something wrong. This could be excessive venting of the crank case pulling the fumes as the gas burns off. Also if your smelling gas in the oil with a cold motor you may possibly have a leaking injector. Is there a tune on the car? If so the fuel tables may be way too rich at cold start and low RPM. Does the car bog down at all at stops or idle?
I’m still leaning on a leaking injector.
If it’s that strong of a smell, could be worth draining the oil and see how much comes out. If it’s more than you put in(even a 1/4 quart) then you have a(possibly multiple) leaking injector.