Oh, my god, YES. I imagine Sukuna having taken Yuuji in after his parents died (under somewhat mysterious circumstances perhaps) and the people being so touched by their emperor's generosity toward his brother's son 🥹

Since Sukuna has no son of his own, Yuuji is expected to be named his heir, an expectation that seems even more likely when statues of Yuuji start to appear. They pop up all around Rome, often where statues of Sukuna himself stand. Nothing seems off about that, until word starts to spread that there also are several in Sukuna's home, and that they are of a rather different nature.

In almost every room in the residence, there are life-size statues of Yuuji in various states of undress. Some of them are eerily close to the statues men commission of their wives, with Yuuji showing loyalty and affection, and even symbols of fertility.

Those who witness them can barely look, turning their faces away or even to the ground in their presence, something that the Emperor seems to find highly amusing. He often steers people's attention to the statues, asking them their opinion on the likeness, pointing out concerning details, and wondering if they think he should commission the same artist again or if they can recommend someone else.

If Yuuji is present, he blushes crimson, further strenghtening the suspicion that Sukuna doesn’t see him as his heir. It becomes a well-known secret that their relationship is anything but proper, but what can they do? Sukuna is the Emperor, and despite his degeneracy, the army supports him completely. Anyone who dares to try and speak to him about Yuuji ends up demoted, by losing their seat at the senate or worse.

Sukuna spends his life with Yuuji by his side. Never marrying. Never having children. Never appointing an heir.

Frankly, he doesn’t care what happens once he dies. As long as he can have Yuuji, he will rule Rome with the iron fist that makes it possible to keep him.