Even if biking is safe when driving is safe in snowy conditions, it’s still much more annoying to be a cyclist on a snowy winter day. You either have to sweat in a ton of layers or wear flimsy ones and be chilly every time you aren’t in motion; having some environment to insulate you would be a huge advantage. I say this as someone who is not a driver but as an amateur cyclist (though not in the winter… yet).
I’m still figuring out how to make winter cycling feasible for me, and I think for most people it’s a lot of dedication and commitment that the average commuter will not want to put in. Also, icy road conditions are the worst for pedestrians and cyclists; they can be bad for cars too, of course, but obviously car tires are much bigger and can withstand much more.
Given the dominance of two-wheelers, with some clever marketing wouldn’t it possible to encourage more e-bikes and hybrids? Electric scooters could be subsidized, Maruti can market, etc.
People are very susceptible to popular things as you say, and I do agree it would need to happen gradually.