I became aware of this phenomenon yesterday, when I saw this and this at the subreddit r/shittytattoos.
Here's video of the "[c]reator of the famed Ignorant Style tattoo style, Fuzi... a street art legend."
And here's an Instagram collection of Ignorant Style tattoos.
I'm pretty amused by the concept and, especially, the name — though I think most examples of this sort of thing are a mistake. Many years ago, probably in the 1990s, I saw a young woman on campus that had a tattoo of a bathtub on her neck. Just a dark line drawing of an old-time claw-footed bathtub with the pipe extending upward for the shower head. I felt so bad about it. And I love bathtubs. But now I can see that it was an early example of the Ignorant Style!
ADDED: Back in 2009, I blogged about a tattoo artist that did things that he might characterize as Ignorant Style. It's at least adjacent to Ignorant Style. I said "I love these scribbly tattoos!" You can see a lot of his things at Instagram, here.