And if you limit it to things that solely have some sort of elemental tie or are just a bunch of circlets with +skills, you're going to get a bunch of items no one will ever use, anyway. Otherwise, let's not try too hard to chase logic in a game where you throw random ingredients at a crystal and an item pops out. If SE wants a recipe to work, it'll work. Non-visible items getting the ilvl treatment is otherwise one of those progression venues they haven't stepped into yet, and I'd have no problem putting a Su3 requirement or something on the above or even the synergy result spitting out a lesser version that is then powered up through other activities. Maybe even calling it "Relic equivalent Jewelry" would better satisfy your gripe.
Being honest, SE adding items no one would ever use has been one of XI's longer term flaws. I remember people flipping their lids over Taeon/Perle/Aurore back during the cap increases because suddenly old things weren't top dog, but that sort of progression is needed if you actually intend to keep adding new content so people just don't immediately look at it and not want to bother. Playing some mages, I think it's pretty dumb we need 8+ earrings. I'll also continue to call out demanding people pay more for the 2 inventory tabs monthly is greedy AF. But sure, shame on me for wanting to kill a few birds with one stone.