I have this same issue in multiple browsers on multiple computers. Anyone find any kind of a workaround? I tried Hotfix 6, but it didn't help with this issue.
My best workaround right now was to install the Adobe AIR runtime, followed by the Standalone Console Installer. These are listed under "Additional Downloads" at the bottom of the LEM Product Downloads page in the Customer Portal. This allowed for the saving of credentials, albeit not directly in a browser.