Earlier quoted context omitted.
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…
But that applies to having money at all. That can't be enough to call it gambling.
> expectation, intent
I understand your argument here, but I disagree. Shifting to the bank that offers the best rate is good management, not gambling. Understanding how interest works and being motivated by interest to do bog-standard money storage doesn't turn that storage into gambling.
> without doing anything else
I don't understand how this connects at all. Maybe it reflects badly on you if you want to turn money into free income, but that doesn't make it any more or less of a gamble. It's a totally different axis.