Question about the 'Color Precision/Accuracy' of UltraSharp U2410

I am a graphic designer, so I wanted to be sure to invest in a quality monitor.  A monitor that can accurately display color for both print and web projects is absolutely critical - as a designer or photo editor, you spend a lot of time selecting and tweaking color, getting it just right.  If what you print out, or what is displayed on other people's monitors via a web project is drastically different from the color you have created onscreen, then you have wasted your time.  

The reason I paid so much for this monitor instead of going with a less expensive one is because it claims to display accurate and precise color.  It says that it is 'color-calibrated at the factory for accurate, consistent, and precise colors' and emphasizes a 'simple and outstanding Out-of-Box experience.'  

I'm more of a designer than a techie, so maybe someone can help me here.  Compared to a variety of other monitors, this one noticeably has a much 'pinker' color cast when comparing whites on screen.  Here is a photo of the UltraSharp U2410 next to a Dell Inspiron laptop and an HP laptop, taken with no ambient light interference, and with the U2410 in either sRGB or Adobe RGB mode (both of which come 'factory calibrated' and both have a pinkish/warmer cast):

http://www.joeybuda.com/3monitors.JPG

This is going to cause a problem with web projects, because the colors I produce on my monitor are going to display drastically different on the monitors of probably the majority of the internet-using population (which in my opinion look a lot closer to 'neutral' white).

To further illustrate, here is a photo of an iTouch (white screen) next to the UltraSharp, in sRGB mode - the standard for web/screen:

http://www.joeybuda.com/sRGB.JPG

Does this mean that every other monitor is actually showing inaccurate color, or is the U2410 claim of 'accurate color' false?  

Further, can I trust that its factory preset for Adobe RGB (the 'Print' color space) can be trusted as well?

Can anyone tell me what is going on with these color spaces and this monitor?  Is it supposed to be like this?  Is this 'accurate' color?  Help is much appreciated, as the 'return policy' date is approaching, and it is a pretty costly monitor.

Thank you!