I kinda get the feeling like you are baiting me to mansplain...
Speaking from my own limited experience, my wife finds the whole process of pumping at work uncomfortable, regardless of what her coworkers might feel.
Having to carry dirty breast shields to the sink to clean, having to hold the bottles up to her (exposed) breasts (pump bras don't work for her), the fact that she may leak, the sound the pump makes etc.
> I believe most women would surely prefer to pump at their desk while they work instead of having to sit in a bathroom stall.
Forcing mothers to use a bathroom stall just seems cruel. In Seattle, it's now building code that office buildings provide a "wellness" room for mothers returning to work.
My wife's office turned an old supply closet into such a room, but it was pretty bad, and guys were using it to take naps (they would leave when she knocked on the door--but still what a shitty thing to deal with).
Once Corp HR found out about it, they got a different room that is a bit nicer, and installed a lock requiring a key. Even still, she will prefer to come home and pump.