Your comments

OK, I now understand that it does update.  Still does NOT link to the actual message clicked on.

I paid for this app assuming that it would, at minimum, include the functionality of the stock Gmail widget in 4.1.  What a waste of money.  I get hundreds of emails a day, what's the point of scrolling through a list of them just to see a 2-line preview and then have to find the email again?