Well, the leaked image is a leaked image, and this one was posted by the director of the film.
I could see him covering the tats on his face with makeup, maybe in reference to the part in TDKR where he puts on his lipstick. Maybe he has them to play the role of a lifetime prisoner and dolls himself up after he busts out, getting ready for his closeup.
I dunno. I'm trying hard to rationalize it.
That is what makes me think it is likely a farce; the leaked image, unless "leaked" on purpose as most leaks are, is more likely to be true to the actual production. The official image, firstly, as many have shown elsewhere, appears to be photoshopped, and secondly, makes a lot less sense in context of the other information we've seen.
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How does this Joker not fit in? Let's not forget the version that wears his own severed face as a mask. We rarely see Joker shirtless and the two times that come to mind are one, he had a large tattoo covering his entire torso and two, no tats at all.
"anyone with taste and knowledge of the character" .... None of the true Joker fans I know dislike this. It represents who Joker really is. I suggest brushing up on your Joker facts before you throw jabs like that because Joker is THIS.
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Firstly, I don't think the image you provided suggests that this look fits in with the history of the character at all. The common factor in all of those depictions is white skin, green hair, red lips. Here's a breakdown:
All of the depictions except for Ledger and possibly the first appearance are a result of a chemical accident, meaning his hair and skin aren't colored on purpose, they are dyed and bleached.
All of the depictions except for for Ledger and Nicholson have a permanent smile from the accident or a chemical rather than something more like scars.
None of the depictions have other identifying marks, such as false teeth, tattoos, or anything that isn't a result of the ACE Chemical accident, outside of the New 52 Joker, which a lot of fans really dislike.
All of these depictions, except for The Batman image which... is a pretty strange depiction, are a textbook narcissist. All wear the clothes of an outlandish sophisticate: suit, tie, dress shoes, in some cases an overcoat and a hat. Whether the character is shown as a gangster, an outsider, a ringleader, or even somewhat of a potential homeless person (like Ledger), they dress well, despite using the colors of a clown. The character is often seen picking dirt or remains off of their clothing and trying to look put together and collected. In other words, he doesn't have to telegraph his "madness" through his appearance. His expression and actions do that.
The two depictions you are focusing on are both recent and short lived; New 52 is ending and many people took issue with the depiction of the Joker, and the tattooed Joker is literally seen in one comic, and those tattoos aren't visible when dressed.
The character isn't a low-level street thug, which is what the face tattoos and classless appearance show. You know who does look like that? Someone far less intelligent, far less capable, and with a considerably limited amount of screen time who Batman doesn't have any trouble putting down.