Of course that would still be the case if there were no Hamiltonian circuit. The only new thing that brings is that the number of moves to solve it is less than the number of possible configurations.
If you did a trillion moves per second then it would take around a billion years. Top speed cubers make around 25 moves a second, so even at that top human rate you're looking at using around 40 billion billion years.
You also need several billion years to do this, so it's not recommended for beginner solvers.