I find with LIEs real clashing occurs when it engages the Ethics elements just like DarkAngelFireWolf69 says about the relationship of Business vs Cold blooded types. That communication styles article (
here) does also discuss Passionate and Sincere types together as having a lot of shit going on. Otoh, as long as it's a fully objective topic with the parties focused on problem solving, the Ti and Te get along decently well at least in my experience.
I did openly oppose my Conflictor before on Ni matters. I actually became incredibly stubborn and could not let go of the issue and blew up eventually. It was really important to me that we get on the same page with it. I'm definitely more flexible when it's just Logic involved when interacting with Te types. My Ni HA is hardly flexible lol.
But yeah I don't know what it would be like with Ni PoLRs, haven't noticed a conflict yet over Ni.