"Fine Bob, you can have that one... again? Damn it Bob, stop being an asshole."

People can be that "dumb", I wouldn't read too much into it.

Also it looked like the "first" bird "stole" the stick from the "second" bird in the first place, so it could just be some well deserved payback ;)

Bird commerce would be much more interesting than tool usage. AFAIK, we are the only species that does it.

Sort of related: I have two dogs. Dog #1 (the larger male dog) requests food from us and when food has been provided he sort of goes and gets Dog #2 (a smaller female). He then stands guard over her until she's done eating and then he eats his food. Could be a similar dynamic at work here?

Reminds me of the sad fate of the software developer :)

Alternatively, they are so smart that they understand the benefits of social credit. The first crow could have been repaying past favor, or, making an investment.

Perhaps the first one didn't want the food... if it did, it wouldn't have helped the other crow but would instead just have done it on its own and taken the food. After all, if it's able to use the stick to probe on its own, wouldn't it stand to reason that it didn't even need to have helped the other crow except out of benevolence?

Did you watch it? Clearly wants the food twice.

Could that indicate they have a pecking order (pun intended)?