The heavier feel may not be preferred, but it makes having a flexible, cheap suspension design much easier.
For example small carthat weighs 1000kg may be be expected to carrier 4-5 adults, an additional ~350kg. To do this the suspension must be overly sprung (and possibly under damped) for a single driver. A 2000kg Tesla means that even without air suspension or adaptive shocks, it will ride much better with a single driver while still being a capable of a high payload.
Having a large battery also moves the unsprung:sprung mass ratio favourably.
Specialty vehicles like sports cars and offroad trucksand where payload rating is not a concern function much better the lighter they are though.