As reported by Ryan F. in a Private Message to Paul:

If the Serial menu is open, a double-tap does not put the Torch immediately into web config mode. Whereas, you might expect it to.

This is due to the firmware intentionally staying in the menu loop. The mode change from the double-tap would only be executed when exiting the menu.

Should we add a new feature where the double-tap causes the menu to be exited and the firmware to immediately go into web config mode?

We could leverage btPrintEchoExit - where disconnecting from BT forces exit from all menus...