It would make sense that an INTP would be interested in INTJs (or some other judger), as INTPs tend to have issues getting themselves to do things. If they can find a compatible INTJ, then it could work out for that reason (and is helped by INTJs being thinkers rather than feelers).
According to a poll in the INTP Facebook group, INTJs are the highest rated partners (more good relationships than bad). According to a
relationship survey, INTPs rank second for INTJs (INTJs were number 1) and INTJs rank 6th for INTPs (behind INFJ, INFP, ENFJ, ENFP, and ENTP).
On the other hand, in my experience, the J in INTJ (or any other judger) gets on my nerves, and once I experienced a life without it, I realized I never wanted to go back. That is, the only judgers I can be around are INFJs.
Also, I usually start thinking I'm in the twilight zone when around INTJs (and other Ni users), as they make accusations and statements that come out of nowhere and that make no sense. And the dumber it would sound, the more they'd think they were right. It seems they're explicitly about ordering others around, thinking themselves better than everyone, and being arrogant, dismissive, and insulting. When around anyone that leaves this not being possible, it's almost as though they start trying to twist everything around to put it all back in play, as though everyone is stupid and they're the only ones that know what they're doing. It seems they are obsessed with seeing everyone as stupid and with thinking they're the only ones that know what they are doing.
Also, it seems everything has to be spelt out for them, they are always convinced they are right, and are always trying to force their way.