You can just do this now, usually. It does just take some effort, but that's gonna be true whether or not people actually cite their sources properly or not: most of the effort is in actually reading and understanding the material, not finding it, even when it's not super straightforward to find.

(for example, when a piece of legislation is widely reported on, I usually can manage to find and actually read said legislation, which can be quite informative as to whether said reporting is accurate)