We'll see. Dillon and Coleman concerned congressionally derived amendments, a big difference. This isn't to say scotus won't butt into something it has no business in. Ask CA and prop 8.
It's not the Supreme Court that will butt in. It's Congress. I can give you a 100% guarantee that Congress will resurrect one of those bills from the Seventies or Eighties to regulate an Amendments Convention.
I can give you a 95% guarantee that at least one state will challenge Congress' authority to legislate in this area.
As to how the Supreme Court will resolve it, I don't know.