Exactly the question I was going to ask.
Have you ever had any problems getting around in any car in the last 10 years in the winter? If the answer is no, then I wouldn't bother with winter tyres. If the answer is yes and often, then I wouldn't bother either as the Zed isn't going to make life any better. If the answer is yes but only a handful of times then you could consider it, but only you know if the cost is worth it.
Living in Essex, there has only been maybe 2-3 days a year where the weather has been that bad that winter tyres would've made a massive difference, so I don't bother. The cost is just too much to be worth bothering about,