For an EV there is the added issue of achieving low rolling resistance, which is both more important to EV range than ICE range, and also more in conflict with the other parameters physically. The famous Michelin Cross Climate 2 is the best all-weather tire but experience of Tesla drivers show a significantly less efficient drive.Thanks for the good clarification. There are some all-weather tires here in Germany that rank among good winter tires in tests and have the marks that allow them into mountain roads that are blocked for summer tires in winter. Typically they are a bit weaker on dry roads in summer, i.e. their braking distance is a bit longer than that of good summer tires, but not enough to deter me.
Hankook is making an iON (EV) tire as an all-weather (all-season EU designation) version, the Flex Climate, which is available in EU but not USA.