Anyone who claims that there is no room for creative thinking in a law degree clearly doesn't have one, or completed it badly.
As with any other undergraduate degree, it will have its dull moments, and it is inescapable that, because of the way in which some LLB examinations work, there will be an amount of committing to memory certain principles and the names of the cases from which they came. But if that's all you ever do, you'll end up getting a third class degree or worse.
At a good law school, there will be ample opportunity for you to challenge the ideas with which you are presented and use your broader skills as a thinker to turn them on their head. You'll be encouraged to reflect critically on what the cases seem to be telling you, and asked to defend or reject what you find on the basis of reasoned and rational argument. And since the law does not exist in a vacuum, if you can recruit ideas of a philosophical, moral, sociological, historical or political nature to your work, and articulate them in a sophisticated manner which is neither flippant nor obscurantist, then you'll be duly rewarded for your efforts. A law degree is really what you are prepared to make of it.