This is what happens with private cars now, except in a much more wasteful way.

Commuter train cars generally weigh about a ton per 3 passenger seats, but packed-full cars are considered uncomfortable. So a pod weighing 600 kg would be equal in weight per passenger to a train car where everyone sits alone on a double-seat place. Which is a pretty reasonable comfort standard. An EV pod could also be charged in the train during the journey, so you would have its full range available at both ends of the train journey.

The point wasn't to avoid people (I consider that a downside actually), it was to save having to have a vehicle come pick you up twice a day or generally having to drive around without a fare. It'd be your own personal vehicle and it'd have to be as small and light as possible for this exact reason - I had imagined golf cart sized. The vehicle would only need a minimal battery because it only has to take you from the station to work and home to the station (and could charge on the train and at work). You're right though, I dunno if the economics would ever work out.

With the disclaimer that this was just a fantasy and probably shouldn't be taken too seriously.