Dhm, hope you survived the uncomfortable drive on your crazy big summer tyres......FWIW, I certainly do NOT have a Y chromosome lurking anywhere and am definitely XX, so your assumptions on that score are, well, wrong. A "old BOY" I certainly am not unless you have very special powers in gender reassignment over the internet, that is. The jury may well be out on "old" though

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I really don't have a problem with anyone using whatever tyres they want - OP just wanted some advice, that's all, and to give correct advice as per manufacturers guidelines is what we do try to do on here, a lot. Voiding insurance policies by not mentioning non OEM approved winter setups is actually a very important detail. As is the fact that 19 or 20" winter tyres are very expensive compared to 17 or 18", regardless of the individual preference for make of tyre, and that the 17 or 18 will perform better than the 20 under the same snow /ice conditions. Those are just facts, regardless of personal opinion and choice.
Added to which, Pirelli Scorpions come in multiple subtypes......the STR for instance is a great all round tyre which I used winter and summer on my Range Rover. So it was not clear exactly which one you were referring to - the dedicated winter tyre is the esoterically and innovatively named Scorpion Ice and Snow .........
We all pay our money and make our choices - but I think you may find that 20" winter tyres are not the norm, nor are they the best performers in the most extreme conditions due to the lack of sidewall real estate, whatever make they may be. These days, major manufacturers all have a winter range, most of which perform very well in most of the weather conditions the UK experiences, although with a sustained spell of extremely hot weather like we are having at the moment, no winter tyre will stand up well to lengthy commutes on tarmac reaching temperatures which has already melted part of the M25.........