mswood said:
While that grated on my ears, it didn't take out of the film. You don't necessarily have the best singer perform at a funeral. Here the highest ranked maiden is singing to the deceased heir. It made sense. If it played for laughs or humor then it would have yanked me out of the movie.
Thats what the cooking scene did.
But the cooking scene does help develop the characters somewhat. The funeral scene doesn't really add anything. It's a much tighter cut just going from Theoden asking, "Where is my son?" to him & Gandalf talking outside the tomb.