I honestly cannot fully blame airlines for out-of-date publications. Captains are finally responsible and, in my experience, almost all will be found wanting.
Every time you fly, check your updates. For example, Jepps are amended weekly. If you accept Jepps with amendent 2 weeks old, your own standard is on the skids. If your company will not co-operate, buy your own publications, change company or get out of the business!
If you are so full of !!!! to think it doesn't matter, watch this space.