Not many of us could (or would want to) take a baby to work on a regular basis, but neither is it reasonable to expect employees to be available 24/7. If I had been called into work at 1.00 am and my husband was working, I would have had to take my children - what else would I have done?
Nobody can seriously expect parents to employ permanent full-time staff on day, afternoon and nightshifts on the off-chance that they will have to go into work in the middle of the night - who could afford to do that? My husband and I had it off to a fine art. He covered when I couldn't, and vice versa (and remember that working parents also ferry children from A to B, collect them from places and do all the things that SAHPs do). We had a nanny for a while, and other types of childcare as they got older, but it was organised on the assumption that we knew at least roughly what our working hours would be from day to day.
When things came up, such as either of us needing to go away on business, we worked around that as we had advance warning, but if we had been confronted with an unexpected need to be in the workplace at 1.00am, we couldn't have left the children at home - they would have had to come in. If I was away and my husband was in charge, he would have had to do it too - or tell his employer that he couldn't attend, and the same would have applied to me.
The difference in this case is breastfeeding, but the same applies, as someone would have to be with the baby to do the feeding, even if milk had been expressed and left in a bottle.