BST has nothing related in the slightest to master DD other than Fencer. Every other JA/JT we have is pet-related. No job haste, no DW, no attack or accuracy bonuses, no nothing... (That would be why a lot of us don't bother whacking things.) A single jug pet being able to self-haste doesn't count for your argument as it doesn't benefit the master directly (and you are complaining about the job of the player affecting something.) That pet is also not highly used, and we have better jug pet options for most tasks that are going to be encountered.

Dual Wield/Martial Arts also reduce tp gain, which can be enough to counter the benefits gained from higher attack speed. I've run into many many fights where excessive tp feed to the mob is lethal to the players, so its also not always a good thing.