Not always, once you match suspension closer, it is VERY hard to match the Honda Civic R sophisticated suspension design with common stamped steel cheapo hot hatch's designs.The Hyundai Veloster N would gain some with a high end Genisis suspension setup that is more like the Honda R's. So suspension disadvantage is still on the Veloster N. Match tires, and other things, it is not always the case.
Plus I think a properly setup track AWD car will beat a FWD car as it wil be better balanced and have the advantage of putting 40% to 50% power to the rear and let the front tire being able to steer and have better overall traction for the the 140 lb weight hit. We saw this here. There are many kinds of corners where AWD just dances out of where FWD even with an eLSD is hindered.
We're (at least I was) talking about stock cars, right out of the factory.
Neither Golf R, nor STI handles better than the Type-R. When you mod them, it's no longer apples to apples comparison.