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You're assuming the phone works and the internet connection works and the app works and the service behind it responsiveAt check-in (24 hours before my flight), I add the boarding pass to Google Wallet. From that point, displaying it doesn't require an internet connection, or having to rely on the airline's often-shitty app.
Yes, the phone has to not be broken, but that's a pretty low bar: in my 15 years of owning smartphones, my phone has been broken and unusable for perhaps a grand total of a few days of time (so under 0.01% of the time). Yes, Google Wallet has to be functioning, but that particular app being broken would be an unusual, surprising occurrence.
And if by 0.01% chance, I can't get the boarding pass off my phone for some reason, I can always go to the check-in desk or kiosk or gate and ask them to print me one.
> Meanwhile I have a printed boarding pass which depends on nothing other than me having it in my pocket, so it basically 100% fail-proof.
I've never lost a phone before, but I have lost paper boarding passes on more than one occasion.
The point is that the mobile boarding pass is a nice convenience (especially with the auto-updating gate number on it), but the ability to get a paper boarding pass printed is never far away if the mobile one fails. So why not just use the mobile one, and save some paper, and the need to keep track of one more item?