I think 'normalcy' comes in different flavors and is a gradient as opposed to being binary. Two people can be totally different yet both be relatively 'normal'. I think a better word people should use is 'common', except that loses it's connotation of putting the speaker in a superior position, but rather places you in the superior position.
To call someone 'normal' sounds, to most people, like a compliment, and is certainly intended as some dig in most cases when used 'you're weird/not normal'. However, simply replace it with common, and it makes you sound so much better. 'you're not common'... well, thank you, I don't want to be common.
Overall my patterns of thinking usually do not fit neatly into any classification of normal that I'm aware of. Many of by behaviors do not either, but mostly because I, like I'm sure most here, do not censor my behaviors in an NT way. In many ways I just let myself be, which blows some people's minds when they start to get to know me.