I guess it is about "map zoom". If my assumption would be true:
Windy.com doesn't save last selected map scale in User Preferences, thus some default map scale is used on each new user session one can use favorites URLs for Windy.com, which allows always opening Windy on a web browser with any prefered scale/layers/position/etc. (see details here) I don't know about using the Windy.comm App. on small screen device.T