They'd probably still call you a liar. My guess is that you're sending some kind of signal that says "dishonesty" to many NTs, maybe not making eye contact?
But the eye contact is kind of a myth anyway. Averting one's eyes isn't really a sign of dishonesty, but a sign of discomfort. A good liar can look you in the eyes and lie quite comfortably.
Actually, now I remember the last time I had to lie... I was a teenager, living with an abusive stepfather. I used to sneak around, collecting evidence of his cheating my family. (He did--he took our savings and gambled them away, pretended to be going to college and wasn't; said he was working and wasn't. Etc.) So back then, I really had to lie to protect myself. That's when I learned that I could lie by pretending the lie was true, by creating a whole alternate reality in my head and temporarily living in it.
I can't really lie conventionally. Holding the truth and the lie in my head at the same time is just too confusing. However, if I have to lie, I can--if I also temporarily deceive myself.
It's no wonder I don't like lying. Every time I lie to someone else, if I want to have a chance of them believing me, I have to lie to myself, too.