Regular spanning 2-factor decomposition conjecture

Let $G$ be an $n$-vertex $r$-regular graph with even $r\geq \frac{3}{4}n+o(n)$, and let $F$ be a $2$-regular graph on $n$ vertices. Regular spanning 2-factor decomposition conjecture. The graph $G$ decomposes into copies of $F$. The statement is proposed as an asymptotic transfer of the minimum-degree triangle decomposition conjecture to arbitrary spanning $2$-regular graphs; the supplied source gives no resolution evidence.