We have the same drugs. And the cone. They did do stitches but inside stitches that dissolve on their own and glued the skin back together.
Last time I picked him up 12 hours after surgery and he was sobered up by then. Tonight he's still out of it. But, he did get himself out of the carrier right away and staggered right into the litter box.
Now he's just sitting in the hallway wondering WTF happened???
But he's home. So yeah!