I'm confused by the ideas you're combining here. Do you think all forms of rent-seeking are gambling or just ones that involve money in a direct way?
The only risk in a bank deposit is up at the "societal collapse" level. Are you really so extreme as to say that's gambling, and if so isn't having money at all a form of gambling?
The point is largely around expectation. Sure, the base case of putting money in a bank is very safe, but the interest on that is not. Factor in inflation and its pretty easy to get negative returns on bank deposits.
If you fiddle with "investments" with the intent of making money without doing anything else, that's gambling.
Sticking money in the bank with the hope that it's still there next time you come back to it is not really gambling. You're just doing the default thing.