I found this chapter on The creators twitter after a long search for the truth. The creator posted this with a commentary that translates to “Even if they are switched, they are such a bacouple(a couple who, prior to getting together, still had the sense of shame to not flirt with each other in public and embarass others).
With this I believe it is confirmed inside of yuuta is yui and vice versa. But they accepted each others identity. And now identify for the most part as the same gender and name as their body (which is necessary to solve the gender dysphoria issue many have questions about)