The weight of the batteries isn't going anywhere anytime soon. I expect car makers will prioritize range. I think the engineering to make an EV truly light like an old Integra Type R (1100kg) will be obscenely expensive and sacrifice so much on practicality it just won't be a viable product as a road car.
The car would be so compromised to be that light nobody will make the car, at least at an affordable price. You'll end up with a limited range, limited power, uncomfortable car for a price way out of line with what you're getting.
I think you could make a ~150kw-180kw EV pretty light, but considering the ongoing power pissing contest in modern cars I'm not sure how well it would market test.
So I expect the market will stick to heavy cars with big power because it's easier to build and easier to sell.