While the snow tires are definitely better on the snow, the black truck driver had no experience in slippery condition driving and let the truck to spin around.
There are lot of factors. Snow tires are made of very soft rubber, what gives it very short life. Have not seen comparison between snow tires and all season on the ice, what to my experience is most common in winter driving, than snow.
20+ years ago I was living in 4-seasons and was driving on the snow and ice average 3 months every year. No 4WD, no ABS, no traction control, no snow tires, no chains (!) . All I had was my skills, shovel in the trunk and help of by-passers and it worked.
I don't disagree with the driving skills, or how much this was set-up but times have changed and we have to accept that too. When we started driving, there was so much less traffic (specifically as I understand neither of us did that in the US) which allowed so much more flexibility on using roads, even for mistakes.
The "early days" were really good for learning car handling, it is unfortunate that young drivers simply do not have the choice on the road and not that many tracks where winter driving can be practiced. I've probably lost a lot of the driving skill along with age but there is no doubt that winter tyres are useful at winter conditions for experienced drivers too (you did not say they wouldn't).
I'm from a four seasons area and I can assure that my real winter tyres wear a lot less than my summer tyres. That is first because we have W/Z-rated summer tyres for high speeds. I've lost my summer tyres in about 10 000 miles, 20 000 miles would be really hard to achieve even with a gentle driving style. I've never lost winter tyres because of tread wear, I may have changed the car with tyres but mainly because the winter tyre tread gets harder over years and this limits their life mostly. The winter tyres are a lot softer than summer tyres, probably the rubber composition too but mainly because of the tread structure. My winter tyres still do not wear because the roads are so often either wet or snow covered (unfortunately these days the use of salt makes snow covered roads rare). Speeds too are lower at winter time. Honestly, I can reach twice the mileage with winter tyres compared to summer tyres.
This all depends really a lot how winter actually appears at different places. If one gets a lot of snow occasionally but otherwise the temperature is relatively high and roads are dry, that would kill winter tyres while (H rated) summer tyres would do really well.