I have never gotten a set of different tires for any vehicle for winter, but especially not for my truck, and I drive up canyons to ski resorts weekly in the winter. That said, my '17 had some Toyo AT IIs on it when I got it that were awful in the snow. I ended up replacing them earlier that I would have like to with some Coopers with the 3 peak rating that wouldnt slide all over the place. Also, ever since Ford went to the all aluminum bodies I have been placing 200-300 lbs of sand in the bed and that has helped.
Since I am still waiting for delivery of my Tremor, I cant speak to how well the stock Generals handle in the snow, but I plan to try it for a winter. Do they have the 3 peak rating? I personally dont think that the cost of switching back and forth between winter and summer tires is worth it, especially if you have to get them mounted on the same wheels each time. If the Generals do suck in the snow I will just replace them with something better and run the new tires full time.