I will post the verdict here. Go to the link for the full article. Not that long and makes for a good read

http://www.eurogamer.net/articles/digitalfoundry-batman-arkham-city-wii-u-face-off

What looked like graphical tweaks from the press materials failed to materialise - FXAA apart - but thankfully some of the more alarming reports about Wii U graphical deficiencies turned out to be of little consequence to the final product. However, what we have here is a disappointing current-gen port with some bundled DLC and some interesting - if not totally convincing - touch-screen upgrades.

The overall takeaway is that the Wii U version of this classic title is unpolished and less enjoyable to play than Rocksteady's original. On top of the variable frame-rate, we were also disappointed to see the odd moment of more noticeable LOD popping and jerky FMV sequences suggesting that this version has some streaming issues. Unreal Engine titles background load data concurrently with streaming video, and you can hear the drive head zooming about, almost as if it is struggling to maintain both tasks - the halting playback adds further to the impression that this is a rougher, jerkier, more lacklustre rendition of the original.

It's Arkham City, and by default a good game, but the basic reality is that we'd take any of the older - and now cheaper - versions of this excellent title ahead of the underwhelming Wii U port.

Disappointing. Guess I'll stick with my 360 version. That new Catwoman outfit is sexy, though. Not "$60 sexy" but stil......

"less enjoyable?"

Damn do graphics people make me mad.

Makes no sense comparing rushed 6 months ports. AC3 does look visually superior on Wii U and plays at 60fps but no one seems to be comparing that for some strange reason.

I'd think less enjoyable because of the performance, which goes from 40FPS down to 20FPS, whereas the PS360 version is capped at 30FPS and stays somewhat consistent.

60FPS ? I seriously doubt it.

Youre entitled to your own opinion

It's the exact opposite, actually.  Gameplay is the issue.

"Wii U appears to be a fairly close match for the Sony platform, but with none of the tearing problems. However, in combat it's a completely different story - decent performance on the existing current-gen platforms but noticeably sub-par results on the Wii U. In common with Mass Effect 3 and Black Ops 2, once again Wii U has trouble processing multiple characters on-screen at any given point - more evidence that the CPU is simply not up to scratch for straight PS3/360 ports without some extensive optimisation."

I have actually read complaints about the wiiu version compared to the others. I will try and find some more info on it. 

Another bad port...

The memory and CPU speed issues on Wii U is showing your face... I just expect that first-party and exclusives games uses the eDRAM to try to avoid theses issues.

For now...

BOPS 2 = HD won
ME3 = HD won
B: AC = HD won