I understand why the wanted to split the app up into separate 'subapps'. It's so that the respective teams can own their portion of the app.
Ex: The Grocery team can own myWork-Order
Presentation owns myWork-Tie
Move owns myWork-TakeSubt
so on and so forth.
But,
They have failed to understand just how annoying the switching back and forth is. And since I would think that GateKeeper still requires a re-login after 15 minutes, I would imagine if you don't go to backstock/take something for 20 minutes into your shift, oops, gotta login again.
Please give as much feedback as you can using either the built-in feedback button, or the email address in the myWork2 Pilot Page on Workbench. Nothing will change if your concerns aren't voiced.