I did think of that and I didn’t smell any gas. I had drained the gas before storing it too and it does have a fuel shutoff valve.Your post is a little hard to follow but my generator did exactly what your snow blower did and believe it is gas leaking through the carb and into the oil.
I haven't fixed mine yet. If it is that on your snow blower you better get it fixed or you blow that motor.
Smell the oil does it smell of gas?