I work with SR motors as part of my job and it is true they do have a reputation for NVH issues. The problem is not specifically that they're noisy, but that they produce pure tone noise which is very noticeable and considerable design effort is require to eliminate the problem. Having said that it is quite feasible to produce a motor that is about the same at low speed and much quieter at high speed than an induction motor.
The losses in an SR machine tend to be concentrated in the stator which makes them easier to cool, also the rotor is lower inertia. Constant power speed range is typical twice that of an equivalent induction design and while the peak efficiency is lower, the high efficiency speed band is much wider.
Mechanical construction is simpler, but the achilles heel has always been in the electronics. Because the power is switched rapidly from one set of coils to the next about double the mean current flows through the electronics pack making it more expensive, and the competing requirements can be a lot higher.
Like everything there are advantages and disadvantages but in theory SR machines could offer a lot to an EV. Induction motors however are a commodity item these days and hence dirt cheap!