I currently build ensemble based modelling solutions for bushfire/wildfire. Weather is a significant component in how fire behaves and is forecast. Whilst I have access commercially to several models and meteorologists through work I'd be keen on chatting with you a little further about the possibility of including fire weather metrics in your forecasts, or at least using the data in bulk if possible to include in my own public facing project.
For now I would refrain to include data that is non-date or has restrictive licences.
You can find my email on the open-meteo site and drop me some information
Yes, the basic fire weather metrics are derived from the factors you mentioned. Different places globally have some different measures, but I can speak to Australia, Greece, Portugal, California style setups. Northern US and Canadian pine forests are a little more outside my area of knowledge, but could locate more info easily enough.
I wouldn't wish to pursue a project using commercial IP or introduce additional costs where none should exist.