@Philbert. "Starting anxieties" are much more pronounced when a snow blower doesn't want to fire up. Not suggesting more likely, but far more disappointing.
The fuel in the bowl is "right there" as some have pointed out, but the other side of the coin is that fuel in the bowl will go bad way faster than in the fuel tank. Always suggested that my customers shut off the valve and let the carb run dry for medium length storage.
The Tecumseh Snow King engines owned the market vs Briggs in large part because those carbs were a straight shot into the engine, as opposed to the updraft carbs used on the Briggs engines. The primer/choke combo ensured that as long as you had good fuel, you were generally good to go.
I preferred the HSK70 over the 80. Quiet muffler part of the reason. The 8 and 10 HP HSK80's were LOUD. But plenty of power. My favorite was the OHSK overhead valve that came out near the end. Great motor until it was time to work on them. The amount of things you have to take off to change the fuel line.......the words necessary are not allowed.
My expertise is on Ariens, as we sold them for 30 years. In the time flies category, the last year there were any Tecumseh engines in the Ariens catalog was 2008. That 16 years flew by pretty quick, eh?
Blower collection (3) is thankfully smaller than the out of control saw collection. Oldest one goes back to 1972. My baby.