Precisely because we expect that Wikipedia has sourced this information, such as climate data, from a reliable location - i.e. not made it up for itself.
I don't really have an easy solution. People aren't doing it in bad faith. Do laws prevent archiving for the purpose of referencing? IANAL but it certainly sounds like one of the copyright exemptions.
If so there could be a "wikisource" that fetches sites when referenced and then archives them. This isn't IA, it's a different goal really.
Trust, but verify.