The axial bulge that would normally be concealed by a center console acts as structural support in vehicles without driveshafts. Furthermore, if it exists, the cavity will also serve as exhaust midpipe routing to the rear for improved underbody aero performance. Some manufacturers also offer an AWD variant of a chassis primarily sold as FWD--e.g. Acura TL, Mazda3--so design reuse is another path to consider.
The Model 3 doesn't appear to fit this generalization, but a center console still makes sense. It's a 5-passenger vehicle by design, so rear seating arrangement will drive width constraint. You can't put a 6th seat in the front-center position for obvious safety reasons, while leaving it empty would miss the mark when compared to competing luxury vehicles around the same price point (something about how America loves cupholders comes to mind), so filling it in with a sleek and generous center console strikes me as the natural direction to steer towards; it's cheap, serves a functional purpose, fills a void and flows with the overall interior aesthetic. Besides, a closed luxury cabin whose volumetric efficiency approaches 100% is a luxury vehicle that simply won't appeal to the masses.
For a good idea of just how inconvenient not having a decent center console can be, look no further than the ND Miata. Anecdotally, mine is a weekend solo/track toy so not a deal breaker, but it's one of those things that can be easily taken for granted until you don't have one anymore: fitting a pair of sunglasses in the laughably small center compartment is like working a puzzle piece, the large rear-center storage compartment can't be conveniently accessed while seated unless you're a human pretzel, some smartphones won't fit in the cubby hole designed to hold one, and retaining non-bottled drinks with a passenger seated is a spill accident just waiting to happen.