We have had 3 snow blowers over the last 20 years (the first two were bought used and each of them lasted 6 or 7 years) this "new" blower is about 4 years old now. I don't recall ever having a problem with snow blower tires before. A few times I've had to air up the tires, but there has not been an issue after that.

I suspect the tire that broke loose at the bead was likely low on air and it being in use probably caused the bead to unseat.

Mower tires that need to be inflated before every mowing get tubes.

On a snow blower, the skids the front rides on and the wear plate at the bottom of the blower entry are more important then the tires. The tires are primarily used to turn the mower and move it along, the skids and the wear plate are to protect the bottom of the intake shoot and are designed to wear.