If the question is "are you hiding any information" then the obvious (and true) answer is no. If the question is "did you use travel mode for 1password" then that's a very different question. Unless you can point out a statute that requires you to travel with certain information on your device it's hard for me to see the problem.

Your position seems to be that if you were carrying your checkbook (as an American) and then decided against it because you were worried someone might get your bank account number then you somehow risk getting into a debate over technicalities with a border agent. I would strongly recommend not getting into that debate as well by not bringing it up.