BB Bold 9700 :: Talk And Use The Web The Same Time - AT&T

When I saw the AT&T commercial about a guy who talks on his phone while he surfs the web at the same, I thought 'let me try that on my 9700'. So right now as I type these, I'm actually streaming podcast, have my buddy on the other line, and here typing this. AT&T claims that Verizon, which their direct competitor here in the states, can't do any of these talking while surfing web. I have been a T-mobile customer for 4 years now and for the past 2 years I have been talking and surfing at the same time without a problem. I thought depends on the phone as well whether it can do this or not, not the network.