Children being loud in public

So I tried to see if there was already a discussion about this but couldn't find it. I'm curious what everyone's opinion is about children being loud in public places and what we as parents should and shouldn't do.

This came up because yesterday my 9month old daughter and I went to lunch with my in laws to a small local restaurant. Some points:

It was about 1230 PM

My daughter never fussed or cried

She did sing or squeal loudly for some of the lunch

It was a family friendly Italian restaurant

There were only two other tables seated in the whole place.

My MIL kept trying to silence my child by putting her pacifier in her mouth over and over again despite my daughter not wanting it. She wanted to sing and squeal like a happy baby does. I finally intervened telling her to leave it, and to let the baby talk. She was clearly annoyed with me and started to mutter something about other people not wanting to listen to it. I didn't pick a fight about it because we are trying to have a nice lunch but it really bothered me because it wasn't like my daughter was screaming or throwing a fit.

So bottom line what do you guys think?

Should my daughter and I have left so the other tables could enjoy their meal?

Should other people leave if a noisy happy baby bothers them?

Any other solutions?

Thank you everyone! Picture of adorable baby that was singing to everyone :)

Thank you to everyone for all the responses!! I am so glad to see many supporting my feelings and I am grateful to the other opinions voiced which help me see my MIL's side of things as well as how some people may feel about or struggle with loud kids in public. I will keep all of you in mind in the future as I teach my daughter how to behave in public while also encouraging her to explore and enjoy the world around her. Thank you again for taking the time to share! I learned so much from each of you.