Could be. One example of what I'm talking about is that my grandma will tell me to hug my dad for instance. I have nothing against that and I'd say I have a good relationship with my dad, but it's just not the norm for us, and so doing that is really uncomfortable. Another example was my other grandma was in the hospital and unconscious. When I went to see her I was completely uncomfortable and at a complete loss as to what to do. I care about her, but really what am I supposed to do? She's unconscious. I don't mean to be insensitive, but it's just like what do you want?
I don't think that I need to 'supply' Fe to get Fi. I think I need Fi in order to confidently assess Fe and decide when to use it. Or maybe that knowledge of Fi just allows me to use Te within the context of people. I don't know what it is exactly, but I can say for sure that Fi just makes my life a lot easier. If I know the exact status of the relationship, I will be able to act more naturally and confidently with people because I'll know the boundaries and my obligations.