Nope. Not even a little.
Perhaps you need to turn up your sound a bit. On the TOS Blu Ray, the MOMENT you see the Enterprise in More, Tribbles there is an engine rumble. There never was in the animated series. The two cargo ships also have a rumble. There are also more sounds on the bridge, sort of like the transporter room background sound laid over. The Klingon torpedoes have the TOS tv series sound on the special features version but the TOS-A blu ray version has the higher pitched animated series version. I am A-B'ing both versions right now. The sound on the TOS Tribbles speacial features has a much fuller 5.1 surround sound mix. The Animated Series BD sound is flatter and centralized - as it should be. I'm not going any further into the episode because I already confirmed my findings.
So, please, check again. Unless you have a magical re-release with the sound mixes fixed (and man, pass it my way if you do), then you're simply mistaken or maybe we're just getting our signals crossed in the discussion.
Trust me, I am a maniac about the sound mixes, I had the episodes on audio tape for a decade and then the VHS tapes for years after that. The Animated Series Blu-Rays and DVDs sound fine. The special features version of the episode was altered substantially.