There's also the risk that credit card companies are claiming that fraud done using your phone app (for example, someone stole your unlocked phone(*)) is not covered, and you are on the hook for losses.

But stolen physical credit cards are always covered.

(*)EDIT: I thought I'd read a report that someone who had been mugged and forced to give their phone+PIN had an issue with their CC company; but it looks like this is mostly a problem with money transferred out of a bank account, not credit card purchases... and even then, hiring a lawyer will usually get the bank to pay-up.

I don’t remember the last time I brought my cards with me. Needs to be on my phone.