I just did the same thing on my thief. And yes, unknowing, I right click equipped both which just switched them out and made both soulbound. People told me that if I infused one I would be able to wear both so I spent upwards of 20 gold for the mats to forge a fine infusion.
THIS DOES NOT WORK.
One infused, one not, still can’t wear both. And infusing did not make the ring account bound either like some people said. Live and learn I guess.