Since we've already determined the 20" tires are likely 265/45R20, the closest match for 22" tires would be 265/35R22. The one Pirelli that shows up at this size is the Scorpion Zero Asimmetrico, which is rated as an All-Season tire and may be a suitable fit.
If they go with the 265/25R22 the performance tires would be the same width as the all-seasons. While that could very well be the case, usually the performance tire option is wider so as to offer greater grip (other than the greater grip by simply being a different rubber compound). As crazy as it sounds, the 295/30R22 is actually closer to the 265/45R20 in terms of circumference and it would provide significantly better traction. It's also REALLY wide which would be a range hit.
I'm excited to be able to quit the speculating, even though it's a lot of fun, and start really learning things about Model X!