I think there is a more technical explanation to it though. I might be mistaken however, not likely though.

So, accusative is a direct object. Who/what is affected by an action.

Он видит меня - меня is affected by the seeing action so that the action performer sees you.
Я получил зарплату (I received my salary) - Salary is affected by the receiving action, therefore it's received by you.


The other non-nominative cases are indirect objects. Meaning objects that are not affected by the action in a direct way, but rather objects that reap the benefits of the action (like a recipient for example)

Он дал мне книгу (He gave me a(the) book)

книгу is a direct objects beacause it is affected by the giving action, thus it's given.
мне is an indirect object. It's not affected by the giving action directly, but reaps the benefits of it, so that you receive the book.

So an indirect object is a reaper Hopefully not the grim one