What else are they doing?
Using the presence of a working device in addition to an x-ray scanner, as well as manual and residue inspection as warranted. And for all I know, dogs.
Not allowing discharged batteries is just too large in false positives
It's hard for me to make that judgement without knowing what the threat is.
Right - shoes and liquids surely had their batteries discharged.
Most shoes and liquids don't have batteries.
Not a falsifiable statement.
So what? We are both discussing this without any real data in front of us.
If you have an argument why dogs are or are not feasible - put it on the table.
Of course they are feasible - they are using them right now. If you mean are they feasible for this particular threat... well, I don't even know what this alleged threat is and neither do you.
they don't have to make their rules and procedures convenient enough for most passengers
It certainly is not convenient, I'll give you that! Air travel is no fun at all.