I just wanted to bump this thread, I think it's interesting.
I think some woman want to be pursued due to low self-confidence. It's a bit of a trap because you do feel a person who is so much in love with you (at least in his behaviour) is going to give you more security, is going to love you forever etc, etc. Whereas, in many cases, it's just the first stadium of a relationship and a romance style (not necessarily connected with socionics).
Actually, weird as it may seem, it was his persistence that made me be with my INTj boyfriend. I wasn't interested in him at all, but I let him follow me around - also because of the fact he didn't make any decisive moves so I didn't have a chance to get scared. I thought he was so much in love with me and I really yearned for sb wanting me, texting me every night, taking care of me. And this relationship turned out to be one of the silliest things I did in my life, affecting it in many ways. But yes, I was with him primarily because he did pursue me in a non-aggressive but a very clear way.
With my LSE boyfriend it's quite funny - although I felt pursued by him it was me who first talked to him (as a friend) and it was me who finally first kissed him . My perception of this was that he just did everything he could to make me feel comfortable and wanted but he left this first move to me - whenever I felt like doing this. He was pursuing me in a totally caregiving way which made me fall in love with him almost instantly.
I'd say I love being pursued for but I don't like the feeling of being locked in a cage. And I like it when a guy is masculine enough to accept that we are different creatures and we need to be treated in a different ways than his male friends.