IANAL, that said I guess this falls under the "not going to complain about free marketing" category, even if they technically could. From the eyes of the biggest IP holders there is little chance of someone mistaking their creations for the work of someone else, and preserving the roots in pop culture is probably valued much higher than licensing.

Not tattoos, but games look at a similar situation with videos and streaming, most companies welcome the free advertising or encourage it heavily. But there are gaming companies famous for exercising a strong grip on content creation, most prominently japanese companies likes ATLUS [1].

[1]: https://atlus.com/note-persona-5-streaming/