Yes, because it's just a really realistic paint job tattoo thing, not an actual cyber arm.
It's a regular arm model with a tattoo layer, and I'm inclined to assume that's what it actually is IC.
While I think I understand what you're saying, I'm not entirely sure of the assumption about it being a tattoo IC.
Dev posts aren't exactly PF, but
this one seems to strongly suggest CCP regards them as actual cybernetic limbs. I don't know if they show up under the Tattoo category in the character creator or if they're being given their own category which would further reinforce this idea.
Sure the graphics and game tech behind it is probably as you've said - a re-skin of the tattoo layer - but you could make an argument that hair, eyebrows, lipstick and other makeup make use of the same or similar layers and I don't see too many people ICly saying 'That's a remarkable shade of puce you've had your eyelids permanently inked with'.
I guess what I'm saying with regards to that claim being made IC is 'Danger! Danger! There be the possibility of Derp!' and also long threads on the IGS or in the Summit full of bleh circular arguments