As you can see from the screenshot below, I already caped my weekly moon scroll thus activates/renew it afaik (Summer Season already counted it btw) but Nature Training fails toacknowledge my progress.
You have to wait for it to trigger completion while you are actively working on that nature training. This is the same as what happens with the seasonal event.
Yeah, its working now. I just had to wait like a day for it to be activated