Earlier quoted context omitted.
It's exactly the same. "Rent seeking" means to increase your share of wealth without creating new wealth. https://en.wikipedia.org/wiki/Rent-seeking
It is, kind of obviously, not exactly the same thing, and the 51% of Wikipedians who agreed about the content of that article agree, because it does not support the point you're making. Instead of attempting an axiomatic derivation of the term, you could just link to an actual discussion by economists of the term, most of which make the distinction between the layperson use of the term "rent" and Ricardo and Krueger'…
> David Ricardo introduced the term “rent” in economics. It means the payment to a factor of production in excess of what is required to keep that factor in its present use. So, for example, if I am paid $150,000 in my current job but I would stay in that job for any salary over $130,000, I am making $20,000 in rent.
Similarly, a landlord charges rent in excess of what it costs to maintain the land and building. Unless I’m misunderstanding Ricardo’s definition, that fits neatly inside of it.