There is a very helpful tag page for species identification questions:
There is no requirement there for detailed weather information.
There is a note to include:
Additional useful info (e.g., behavior, time of day/year, etc...)
as a catch-all category that could potentially include weather, but in most cases specific weather information is probably not necessary. However, the behavior of some organisms (especially whether they are likely to be encountered by people..) is weather-dependent, and weather could help identification in those cases. That said, I see no need to include weather information regularly, the vast majority of species ID questions have no such information.