They will still need to know if their gate has changed or whether their flight is delayed.
There have been numerous accounts where someone couldn’t use a credit card overseas because their bank tried to send them an SMS that they were suppose to reply to to verify a transaction.
Also, SMS cost a lot more at scale for the sender than mobile notifications.
But even then, you first need to know whether your bag is at Terminal South or Terminal North first.
Is it really easier to dig through your email than just click on the app and your boarding pass show up? And since it knows that you’re going to probably scan it, the screen automatically lights up
Delta will also notify travelers via SMS, Email... it's not app-only.
It’s a much better experience just to look at my boarding ticket in my Apple Wallet that is updated.