That's why I had considered something like a Nokian WR G2 which is apparently considered an all weather tyre. But it is a compromise and will not be as good as a true winter tyre or a true summer tyre.
An all weather trye will work in warm and cold weather.
This would also mean no need to swap tyres or buy new rims.
... just considering my options, before my car arrives.
A few things about all season and winter tyres.
All season tyres are designed for dry, wet and light snow conditions. As you correctly point out, these are a compromise tyre. You can't mistake these for summer tyres, as they have a M+S (mud & snow) mark on the sidewall, and are the most common type of tyre sold in America. They are not very common in the U.K./Europe/Asia/Australia.
Winter tyres are specifically designed for cold conditions, and have a snowflake symbol next to the M+S symbol on the sidewall. The additional marking shows that the tyre meets prescribed test criteria and ensures good winter properties (note: the snowflake symbol originated from U.S./Canadian requirements, but like the DOT code, is used by many tyre manufacturers worldwide).
Looking at photos of the Nokian WR G2, it has a snowflake symbol on the sidewall, which would indicate it's a proper winter tyre.
It seems like the decision is borderline for you, so let's use some common sense.
I wouldn't get all season tyres. You would lose too much in terms of objective performance and subjective feel in the dry (what's the point of a GTI/GTD otherwise?). So that just leaves winter tyres.
The kicker for me would be the type of snowfall you receive. If you receive regular or consistent snowfall, no matter how light, then no question - proper winter tyres are definitely worth it, especially since it's likely to be below 7°C.
However, if snowfall is inconsistent or rare (once every 5 years or something), then I'd forgo winter tyres, really. Whilst the temperature won't be ideal for summer tyres, I think you'll at least be able to cope, even if winter tyres would provide far better performance. You know, calculated risk and all that jazz.