The thruth is that a title "chemical engineer" or " chemist" it's just a word in a paper hanging on the wall, you can go for any of them and when you finish your education reinforce wathever field you like the most.
Personally I'm a chemical engineer that has ended up leading a control quality Lab in a pesticide company, so as you can imagine I had to learn A LOT of organic chemistry + Analytical chemistry, which was a pleasure: Actually I'm going to be a chemist also, in one of those distance learning universities.
PS.: I respect and listen to the chemists, and the engineers of other fields mit whom I have to work, and I believe that I'm not superior to them in nothing, and yes, they usually come to see me when there is a problem with the equipment.