I don't think either 4w5 or 5w4 is an unimaginable type to me for either IEI or ILI if they're Ni subtypers (based on how I see all these types..which I admit has my bias).

Darya's comment strikes me as true for what it's worth, although for me what's missing to say something definite is additional feedback from you on how you see these typings, what they mean to you in context of your life, and so forth (so that one can establish there to be some footing). This is of course something I can only suggest, and it depends what you're comfortable sharing.