Whatever your thoughts are about this it really doesn't matter.
If you live or visit Dubai, this is what you get.
I'm happy to sit anywhere on train or a bus.
Don't go thinking this gives you the right to a seat or more space as a woman.
It's just as packed on the trains and buses wherever you stand.
Or in the ladies section
It is well sign posted and for me the only advantage is these carriages stop right at the top of the escalator.
There are fines for men of AED 100 for being in these areas, but more often than not it's usually Emirate men travelling with their wife and children. Both wearing traditional clothing. The rules aren't enforced that much to be honest, but if a transport inspector does politely remind you that you are in a women's only area, one just moves along nicely, the same goes with eating and drinking on public transport, people do it, until they are asked not to.
There are separate areas at the local doctors although often ignored by husband and wife who really don't want to sit on separate sides of the waiting room for antenatal checks.
So it's not a bad thing, there are very few benefits either other than when you are on the public transport and it is packed, fit to bursting, there are no surprises as to exactly what that may be that is rubbing up against you.
*edit
As a woman I have the choice of using the Women's Only section, it is NOT compulsory for me to have to stand or sit there.