So you're idea of ruining game balance is being better than some jobs at killing Even match monsters? /smh
Yes, BLM can blow stuff up nonstop in escha just like bst. I do it all the time. I've actually been GMd twice by JP players for hogging all the pops on BLM and BLU. You pull out healer /support trusts, throw up stoneskin, aquaveil and phalanx, put on your movement+ gear, train a bunch of mobs, engage one until your healer trust cures back whatever damage you took during the pull and then aga them all. Just like beast. There are also better camps outside escha where BLM can just run around one shotting things even better CP than BST can get in escha.
Because even if your NQ stones somehow got you near max augments, that magic damage set you described isn't gonna outparse any DD job on anything but farming fodder in escha. And even if it magically somehow did, your pet would just die without the DT- stats on your gear. You might as well say ninja is over powered because it can proc stuff in abyssea.