I'm an Android user and have never owned an iPhone, but that sounds to me like you're talking about a push notification setting that is completely separate from an Alexa response setting. I could be wrong, but my guess is that that's why you're getting downvoted.

Thanks for posting that possible misinterpretation :)

Everything in my post was Alexa-specific. Someone who has the stated problem can follow that precise and non-obvious menu tree within the Alexa app, and it will solve their problem. It's a device-specific setting, so can be done on the kitchen Alexa without affecting other units.

Both "notification" [1] and "Do Not Disturb" [2] in my post were Alexa-specific terms that are unrelated to their mobile phone brethren.

  [1] https://storables.com/home-appliances/home-automation-appliances/how-to-turn-off-notification-on-alexa/
  [2] https://www.lifewire.com/how-to-use-alexa-do-not-disturb-mode-4788343