I had winter tyres before fitting Cross Climates. The winter tyres were terrible on wet, greasy roads i.e. a lot of the time. I could could spin them up to third gear off a roundabout (Fiat Doblo, not some super car!).
Not all winter tyres are the same… I have big fat snowproxes, they can get a wee bit greasy when it’s really hot but they’re good at everything else.
(this wasn’t some clever buying decision, I got them cheap with a set of horrific alloys off ebay… But they’re worked out well. People say it’s expensive, and it can be but for me it’s saved money. Though they are a pain in the bum to store.)