Certain gilsellers are generating new gil in the economy. It's not the Archer rings ones though, that truly is "straight up bullcrap".
The gilsellers that are generating "new gil" by selling to NPC, as opposed to recycling current gil, are the fishbots in Yughott Grotto. Go check them out, they have a nice racket- the new fishing system doesn't incur fatigue for fishing items, so they stand there all day getting rusty caps, rusty picks, and silver rings. They have 2 manned accounts there as well- one who cleans up the rustys for sale to an NPC and desynths the rings into ingots, the other who runs back and forth, buying crystals and selling the ingots at AH, and selling the cleaned rustys at NPC. And before you say "Oh no, they nerfed rusty fishing, you must be full of shit" check this out:
High end, a stack of light crystals is currently 6K. That's 500 gil per synth. Sales to an NPC on:
Padded Cap, about 850-900 gil
Strong Cap, about 3500 gil
War Pick, about 3200 gil
Oh yes, there's also a guy Lloo in Bastok Mines, who's cleaning rustys 24/7 by the Mog House entrance. I don't know where his suppliers are though, they aren't as conspicuous as the bots in Yughott.