I' had a long thought on this topic too!
Although I haven't had a taste in CT yet but I think it will really help you with anything that requires (logical+critical) thinking.
I ahd a look at one of the past critical thinking papers(the multiple choices one) and compared it to some of the BMAT section A questions(the ones about reading a paragraph and ticking the best option) and I personally found the questions really similar.
As well as that, you also learn how to think about things in a new way and it's kind of like detective work (which is fun!) too!
So i think you should go for it, I know I am. =)