We are talking about close psychological distance here, or aren't we? I get along fine with many types just as well, even with LSIs at times. Problems, to varying degrees, start when close interaction is required, e.g. at work. I personally get along great with LSEs on the friendship level, but things are starting to fall apart once we have to work together on achieving some goals. Likewise, ILIs a great friends for intellectual conversation, but once I start to work with them, I'm often inclined to give them the proverbial kick in the butt in order to get them on the right track or make them toe the line.
The closer the distance, or dependency if you will, the more likely interpersonal dynamics are going to rear their ugly heads. I do however, think there are people who express their type in a mild fashion, and others who express it very strongly, and obvious that highly influences such dynamics.