They should 100% limit visiting hours in shared rooms. One mom’s need to rest comes before the other mom’s desire for her cousins, coworkers, etc, to see the baby. Outside of that, I’m a fan of quiet hours. Keep it down so you’re not disturbing others, or you’ll be asked to leave. It’s a hospital, not a sorority social. If you want that many people around you, have a home birth.
To be fair, I’m a private person- my husband was the only one other than medical staff in the delivery room. All of our long distance family was told we wouldn’t entertain house guests for two weeks after birth, which worked wonderfully for us.