If there is a chance to display warm/cold fronts I found that very helpful...
Windy visualizes only weather models data and these models are not able to draw fronts. They are drawn usually by meteorologists so there is no solution at the moment to display fronts on Windy.
If you want to see where are the depressions, you just need to select Pressure (in low right corner) to get the isobars and see the pressure Lows shown by L letter.
It would be great to read and merge fronts maps. It is the only thing missing !
In the site you mention, there are fronts only over USA and Canada.
If there is an automatic way to draw fronts,
then the map must show fronts all over the world
and at different timesteps.