I don’t live in the snow so never tried in real life, but local laws usually classify different levels of two wheeled vehicles. Some laws treat level 2 and under, where most e-bikes are, the same as bicycles. Mopeds and motor-driven cycles are a level above that are allowed on surface streets the same as cars but too underpowered for the highway. Then the level above that is the traditional motorcycle that are allowed on streets and highways.
tl;dr, it might be allowed for e-bikes to have studded tires depending on how local laws classify it.
My wife is the same way. She doesn’t care so I just use her phone number for everything. But then she wonders why she gets more spam calls than me…