Oh, well the way I would have done it before is search on sc2ranks, then find blizzard page, then check posting history and pull it from the search. But apparently you can't search post history from a blizzard profile anymore.
Some players will start a game and then alt-tab to their JTV screen to read their chat or to change music...etc., then tab back into the game. Usually only during the beginning of the game when the builds are always the same and they know there won't be any attacks happening.
I'm just saying I never leave the game after the game starts. However, if I'm just sitting in the lobby chatting with everyone or taking a break in between games I'll alt-tab to the internet and look at other things.