...the difference we have here is that the Aes Sedai (bonded by Asha'man) bonds are much, much newer in the world than the Warder bond, which has been around for most if not all of the Third Age. There may not have been time for any such effects (Aes Sedai benefits when bonded) to have been noticed.

At this point, I'm not expecting to find anything concrete and definitive on that point... but I'm wondering if there are any Jordan-esque clues in the relevant sections that would appear to imply that these Aes Sedai are endowed with a benefit or two

Given Jordan's tendency (IMO) to be bringing the world back to a state of balance between male and female (channeler, at least), I would not be surprised to see some such effect. And if so, the implications I outlined for a double-bonded pair are quite exciting to consider...