Launching a widget from homescreen "shortcut" requires having widget Online Mode (from homescreen option)?

I am very confused by this behave, I always thought the Online/Offline mode only impacts those of homescreen widgets that need to refresh content, like weather or news, but not to those of shortcuts.

Many users have turn homescreen widget to offline mode by default, many of them complained widget apps didnt work. I realized that they have to switch to Online Mode, at least the first-time when a new installed widget starts, then this widget will be able to access Internet even you switch back to offline mode.

Why's that so?