Then you had a great hospital! My wife and I had our child in late 2020, and our experience was vastly different and much like vlunkr said.
Ours UCSF, pressured and pressured my wife to breastfeed even though her milk was having massive problems coming in. Instead of allowing formula they only allowed donor breast milk supplementation by tubes that were taped to my wife's nipples, to attempt to prevent "nipple confusion".
Not OP, but we had to get a c section and milk production was slow to come in. We also used the breastfeeding aid, but with formula.
The way it was explained to us, the idea is to continue to stimulate milk production while supplementing. We used it for a week until production was sufficient. I personally enjoyed this as it allowed me to be more involved and removed the stress of knowing if we were feeding our child enough while still getting what we could from breastfeeding.
We definitely had a great hospital. With all the stress and lack of sleep, I'm not sure I would've kept calm if they'd imposed stuff that way. Not letting you the choice of using formula when using the breastfeeding aid seems crazy.
Ours UCSF, pressured and pressured my wife to breastfeed even though her milk was having massive problems coming in. Instead of allowing formula they only allowed donor breast milk supplementation by tubes that were taped to my wife's nipples, to attempt to prevent "nipple confusion".