@Dmytro I’ve just tested this and can confirm the problem.
A Switch or Slider widget on the web console and attached to V0 is not updated when the app widget attached to V0 is switched.
The web console switch widget is unresponsive, but clicking the right side of the switch will turn the app widget on, but the console switch remains off.
The web console slider is not updated when the app widget switch is switched, but clicking the slider on the web console does update the slider, and the switch in the app, but this is one-way only (web console to app).
I added value display and chart widgets to the web console attached to the same datastream and these work correctly.
Pete.