You send out an email about promotion, and someone has a question, so they reply to your email message and get an autoresponder that says this mailbox is not monitored?
Would you disable your social media inboxes? How about disconnecting your phone?
Then why would you send your email marketing from a no-reply email address?
This defeats the whole purpose of an email marketing system.
This is called a roadblock to a sale. Yes, some people may try a different channel, but some people won't; why risk losing a potential guest?
You want people to respond to your emails; that's called engagement.
The more people engage with your digital marketing the more likely they are to connect with your brand. That is how you build a superfan.
Top restaurants send emails that encourage a reply to create an opportunity to build a relationship through a conversation.
What are you scared of?