AM, it could be simply that you have a modern classic style with minimalist leanings. If so, I can join you on that bench.
This reminds me of the ongoing "essentials" vs. "statements" discussions we've had here from time to time.
Left to our own devices, some of us tend to gravitate towards a closet of "essentials" (or what some might call basics) -- simple, streamlined pieces that mix and match pretty well without drawing attention to themselves.
And some of us gravitate more to a closet of "statement" items -- those items that have the "twist" you speak about, or more -- seem to draw attention to themselves.
We all fall somewhere on this continuum. And we have different reasons. For some, essentials feel more "practical" so they can justify the purchase. For others, essentials simply speak to their style sensibility more. Meanwhile, others find them dull or boring. "Statements" might feel more "fun" or "interesting" or represent a bigger luxury (which for some is a good thing and for others feels risky or "bad.")
The truth is, for most of us, a closet without some simple "unrecognizable" pieces (or perhaps less recognizable, more flexible/ adaptable pieces) is quite simply unworkable. A lot of forum members actually find themselves here because of that. They have a ton of great stuff but can't make outfits that work.
Meanwhile, even for the most classic, minimalist dresser, a closet of nothing but essentials will eventually get very boring. And that is another reason a lot of us end up here. For me, it's a constant battle to get myself to buy statement items, but I know that I must have them. What counts as a "statement" might be less obvious to a quiet minimalist dresser, but statement there must be.
And, as others have said, statement or not, all of it is identifiable to the trained eye and observers will read it in ways that we have little control over. Although obviously branded stuff is more easily identifiable. And loud patterns, bright colours, wild shapes are more memorable and in that sense "identifiable."
I suspect that as someone with fairly low contrast colouring, part of your wish to wear clothes that don't scream for attention is simply a wish to wear clothes that are in harmony with YOU. Does that make any sense?
Fascinating discussion, all. I have enjoyed everyone's comments.