I'm curious what model you drove that led you to that opinion. I drive an AWD Model 3, but also drive a 2006 Subaru STI on the track. The STI doesn't have the original suspension (which wasn't bad, just wore out eventually) - now it has stiffer, much sportier, suspension for track racing.
All that said, I think the Model 3 feels remarkably sporty for how heavy it is. You can feel that weight in corners for sure, but I'd hardly call the ride "numb". I can't accelerate entirely through a typical corner like I can with the STI, but once the weight settles, and you're coming out of a corner, you can make up whatever was lost when scrubbing speed with instant torque. I think because of that, it feels far more like my STI than most all other cars I've driven.