Your calculations rely on someone paying to swap out their battery every time they run low on electricity. The other person is saying that in typical use, you will end up charging the vehicle most of the time, not swapping the battery.
If you were to swap the battery every time, this would look to be a poor bargain. But if the battery is swapped only once per ten "empties", because for the other 9 it was convenient to charge it, then the calculation would be redone for 10x the distance at the same price.
So, you are both right, but talking about slightly different things (typical use for a commuter with occasional trips, vs long-distance-only users).
If you were to swap the battery every time, this would look to be a poor bargain. But if the battery is swapped only once per ten "empties", because for the other 9 it was convenient to charge it, then the calculation would be redone for 10x the distance at the same price.
So, you are both right, but talking about slightly different things (typical use for a commuter with occasional trips, vs long-distance-only users).