What????? That is just scaremongering. How do you as a driver control whether the engine is on or not when the batteries become low? The hybrid system controls battery state itself. Long before the batteries are in a critical state the system will shut down.
You know when the engine is running from the energy screens or the EV light in the CT. The CT engine also isn't that refined so you know when it is running or not.
From some of the comments in this thread it seems there is a complete lack of understand how the Toyota hybrid systems work, not that you need to know as a driver. You just drive it, you don't have to worry about whether the engine is running or not, if the batteries have high or low charge, or what rpm the engine is running at.