Spoiler:
The ring will work, but it's not the way they wanted too. Instead when she finally uses it everything started glitching and tada, she woke up in her original world with the guy who also got sucked into the game and everything was destroyed. But don't worry, she'll meet Roger in her world, tho they both will end up getting mental assistance but they'll have a happy ending, getting married and kids, I don't know if what I remember was right but Ettien and Arnold got reincarted as their kids (/TДT)/
Ok so the actual SPOILER here is that next chapter:
Crochetta says she and Roger will be moving out to a remote place they won't know of, leaving behind the two men in the current house. Crown prince finally admits he's been carrying the ring around with him all this time and gives it to Crochetta. She summons Amory to discuss what to do next since it's a single use disposable item, and she's feeling anxious about how her relationship with Roger is gonna change once she removes her charm stat. She tells Roger to step out for a bit, and he will but just wants to say even if he falls out of love once the charm stat is reduced, he will fall in love with her again anyways. Feeling more confident she will be able to make him fall for her again just as herself, not as some charm stat, she puts on the ring. The scene turns dark, and she's taken to what seems to be the "backrooms." That's how far the RAWs has gotten, and we don't really know what's going to happen next after that before the next chapter releases next week.
It'd be like that sometimes TT <3 Webtoons like this one are usually building on a webnovel, so you can kinda get spoilers from far ahead like that. But I've been looking and asking around for any source material for this one ever since it first started updating, and nothing has come up. Namu wiki says there's only the webtoon and that by the end of season 1, we've alr gotten to the about 60% mark of the story.
Actually forget it, I checked all of it from the very first down to the latest and I couldn't find it. But I'm not lying, someone actually drop that spoiler and I actually believe it, but seeing how the ring effects is kind of similar to what you said, I guess that person made up what happened after. As for now, I'll just wait for this to end and see if that's what actually will happen.

I have just read the last chapter. I have a small fear that the ring won't work.