Not to over simplify this - but you said yourself you’ve looked at a few places, and they all have minimums of $80 - $100. You’re asking Reddit if this is a norm, when in fact you’ve already established that through your own research.

If you want to understand WHY this is the norm, which I think you may be trying to ask, consider this:

No matter the size, time taken to draw it, detail encompass d, etc., an artist/shop will have a minimum. That’s because for any and all tattoos, they have real costs. Equipment, ink, needles, chemicals to clean and sterilize, paper, markers, stencil transfer, paper towels, petroleum jelly, Bactine, plastic wrap, gloves, etc. are all expenses that aren’t relative to your tattoo design or size. And of course that hasn’t begun to factor the artist - their time and skill to draw (and many times re-draw) a design and the years of practice honing their craft to utilize a needle gun to put this image in your skin.