I'm not 100% set on ENFJ -- in fact, I really believed him to be ENTJ at first too. But as the series progressed, my view of him started to change. But (referring to the bolded comment), he definitely uses emotional manipulation. Fear and intimidation was a go-to tactic. He totally deals in trust, guilt, embarrassment, and other emotional based currencies. I believe Te bargaining would be more objective, like using money or favors. Granted, Frank did a little of both. But I think the bulk of his manipulation was emotional. It's especially apparent when he interacts with other Te characters, like Marty and Remy. When he tries to use emotion based manipulation. Their responses are often things like, "Frank, cut the shit" -- they only care about Te incentives, such as money.
Also, a lot of his quotes sounded more Fe than Te:
"After all, we are nothing more or less than what we choose to reveal. What I am to Claire is not what I am to Zoe, just as Zoe is not to me what she is to her father."
Granted, that's just one quote, but it sounds more focused on social roles, no? And also, I saw a lot of inferior Ti. I don't know quite how to explain it, but there were little hints of it here and there. Like how he liked to unwind: playing video games or playing chess by himself. I've noticed ExFJ's inferior Ti typically likes those types of games. Strangely enough (and I know this isn't really a strong point), but the only two people I've ever seen play chess by themselves is my ESFJ mother and ENFJ brother.