See this answer for why libc++ chose forward order.  As for why libstdc++ chose reverse order, that is probably because that's how it was demonstrated in the variadics template proposal, and is the more obvious implementation.
Bonus:  No.  These orderings have been stable in both libraries.
Update
libc++ chose forward storage order because:
- It is implementable.
 
- The implementation has good compile-time performance.
 
- It gives clients of libc++ something that is intuitive and controllable, should they care about the order of the storage, and are willing to depend on it while using libc++, despite its being unspecified.
 
In short, the implementor of the libc++ tuple merely felt that storing the objects in the order the client (implicitly) specified was the quality thing to do.