The "won't let mom walk to the door" thing is a great microcosm of that—it's a blanket policy applied to all mothers regardless of need.
My wife had our youngest at home but we had to take her to the hospital afterward because her lungs were a little sticky and she needed a respirator for ~4 hours. I took our daughter in and my wife followed a few hours later, walking all the way into the hospital.
The NICU wouldn't discharge us for two days (which is a whole liability > care story of its own), but when they finally did they insisted that my wife—who had had the baby at home and driven to and walked into the hospital while mere hours postpartum—needed to be in a wheelchair to the curb.
We liked that shift of nurses, they clearly cared, but no one in that room looked at my wife standing by the warmer and thought "she needs a wheelchair". They had a checklist and they were going to be darn sure they followed it.