I've recently found this map and I think it's awesome. I currently work in a project integrating some of the variables that you are using but I'm working with the ESRI ArcGIS API 3.21, have you ever tried it? Nowadays we can integrate the wind parameter using the example provided in this repo
It's possible to achieve the same animations you're using in windy app using the ESRI API intead of Leaflet?
Can the following be done: