Traditionally bikes for women had the horizontal stabilizing bar much lower probably to account for dresses and the like, but the differences has been slightly washed out over the years.
The top bike is referred to as the “lady bike”, as you’ve said, but for any external viewers, the top bike is probably a better choice for city bike in general. There’s the point about not having to swing your leg around when mounting and dismounting the bike, true, but the bike also promotes an upright seating position as opposed to a totally horizontal, leaned down, motorcycle like position, which will be more comfortable for long ride periods for most riders, at the cost of aerodynamics. The bottom bike is extreme overkill for most uses, but it’s also the bike you’re going to probably see most often in the US outside of mountain bikes, since nobody tends to commute on bike here.
