I think it’s along the lines of what Woody said. There are two ways that augers get gas, through the primer bulb which pushes gas straight into the carb mouth, and through the main jet(a tiny pinhole in the carburetor throat) which relies on air intake to lower the pressure in the carb throat enough to pull gas into the engine. This pinhole can get plugged super easily on these small engines and can be difficult to get into and clear since the passageways are so small.
I would guess that either the carb is plugged somewhere, OR it could be getting too much gas through the primer (happened to my Mako), and when you put the choke on, you’re actually preventing some of that excess gas from getting into the engine and keeping the air to gas ratio at a combustible mixture.
I would recommend changing out the whole carb. The carb seal&gasket kit is almost as much as a totally brand new carb and unless you really enjoy messing around with carb cleaner it’s worth it to spend $10 extra bucks for a brand new one. I typically recommend buying from the manufacturer because then you’ll have their customer service if something goes wrong http://www.geteskimo.com/search?q=300428 but if you are a risk taker you could save a few bucks https://www.ebay.com/i/121935783841?chn=ps .