My experience with my two banks has been, with their respective apps, I can sign in with just a password but I get logged out of the app after 10 minutes of inactivity. I never stay signed in. This is two different apps for 2 different banks.
On the web, they almost always request their crappy 2FA which is via text or email, and I do not stay signed in ever either, as well as being logged out after 10 minutes of activity.
What irks me is their 2FA, they have no other options besides email or text, the least secure options of all 2FA methods...
But being signed out everytime, I'm not sure I see it as that much of a hassle, and I kind of appreciate that if someone can unlock my computer or phone, they cannot open my bank account just because I was logged in 30 minutes ago...