Each mod has been granted the same responsibility, to deal with issues promptly. Whichever one sees the problem and responds to it first is just as entrusted by the community as any other mod.

If you feel that a specific mod is not capable of making decisions for the good of the group, then there should be a discussion about whether that person should be a mod.

If you sometimes disagree with the decisions made by other mods, just let it go. You won’t agree with everyone 100% of the time. Leaving or deleting one post isn’t the end of the world. If you notice consistent bad calls, then see above.