I've never liked lime, basil, etc either - just doesn't smell good on me. Perfume is such a personal thing, both in terms of personal taste (like food) and how your individual skin reacts with a particular brand/ fragrance.
Did try other Jo Malone stuff back in the day when it was trendy - long time ago now. But always found it very one-dimensional and just over-rated. Now it's everywhere, doesn't even have the advantage of being unusual.
I only like very fresh, citrussy perfumes and love the subtlety of my favourite brands, Annick Goutal and Miller Harris. Both much better than JM, IMO - which is personal..
Do also like very simple, fresh smells - eg Clarins Eau Dynamisante, which I splash on first thing, and Sisley's Eau de Campagne. I'd put Caudalie's Eau de Vigne in that sort of category.