The primary reason that EV's have a fast 0-60 is that it's related to a spec that you and most people care about: charging speed. Supporting a high charging speed is expensive. But once you've got a high charging speed you've got most of what you need for a high discharging speed. And then you have most of what you need for a fast 0-60.
If it costs a few hundred extra to support a fast 0-60 and you can charge $10k-$20k extra for the feature....
I think the root cause is just the market asking for oversized battery packs. That enables both the large instant current capability and high charging speed, without requiring too much additional cooling (it's all spread out). You still need to add the oversized current driving capabilities in the electronics that you wouldn't strictly need for fast charging, which is DC and bypasses most internal electronics anyway.
I think this comes down to market economics more than product design. Many manufacturers have been production limited by cell supply for a long time. You _could_ make cars with extra large battery packs for those who live in exceptionally cold climates, but it's a limited market, and you'd be taking away cells from shorter range models. E.g. you're likely to make more money selling 5 cars with a 60kwh pack than 3 cars with a 100kwh pack.
If it costs a few hundred extra to support a fast 0-60 and you can charge $10k-$20k extra for the feature....