Here's an article from the National Strength and Conditioning Association that addresses a similar question: Recovery Nutrition for Athletes.
It doesn't discuss a carb-first, protein-later strategy, but does talk about a carb+protein post-workout drink. (Studies have shown protein is absorbed more readily in liquid form.)
There seems to be a definite benefit to having a carb+protein supplement immediately after a workout as compared to taking the supplement 1 hour after workout.
Their recommendation is this:
Athletes who are serious about their performance should consume a
high carbohydrate-moderate protein meal (with fluid) or recovery drink
after every workout, practice, and competition. It is also best
advised to consume carbohydrate and protein with fluid during exercise
and/or immediately post exercise.
The article also says that both the carbs and proteins are useful to your body immediately after (even during) workout, so I see no reason to delay protein consumption.