Cub Cadet Walk Mower ?????

Sounds like the carb bowl has condensation /water in it.
That will keep the gas from making it to the bowl and it will not pick up water Tom.
I have a cubcadet selfpulling and it would do the same thing.
Some time you can choke it at a high rev's and it will suck it out of there but most likely it's the moisture in the carb bowl that is keeping the gas from filling and traveling though your intake
Hope this help's Tom