Note that the different extraction methods produce significantly different aromas when it comes to lime.
The cold pressed oil is more traditionally lime-like. Bittersweet with a green limey nuance.
The steam distilled is clearer, and almost has a metallic aroma to it. It smells closer to the aroma of lemon lime flavored soda - with a tartness more reminiscent of the peel (along with lemon peel) rather than the juice.