Well, EVE is quite different from PoE in this regard. PoE is cosmetics-only on paper (they frown upon RMT as you said, but don't really enforce it... and in other countries, like Tencent's Chinese home, you can straight up buy P2W equipment directly from the in-game store).
But EVE is pay-to-win by design. Not only do they NOT discourage exchanging real money for in-game currency, it's actually how CCP makes its money. You straight up buy the in-game "ISK" currency with USD or other fiat money: https://store.eveonline.com/#plex
You cannot, however, sell ISK back for USD (well, you can and people do in third-party marketplaces, but then it becomes a RMT that violates the official terms of service, but it's much cheaper to buy ISK that way than from CCP).
If you're going to make an international game subject to real-world conditions, it doesn't matter what your rules are, people in poorer countries WILL go around them to sell services and items to first-world players – and who could blame them? Beats working in a sweatshop. Every MMO has unofficial RMT marketplaces like that. It sounds like EVE just wants to run the marketplace themselves, like Blizzard tried (and failed to do) with Diablo 3... an idea before its time, I guess?