Great info, thanks! I appreciate the reply, the detail of the information you are sharing and pointing me in the right direction to further fix the issue(s). Gracias. Danke. Obrigado. Merci.
So, to follow up, the timing cover was not removed nor was the large crank pulley removed. Only the small A/C unit pulley came off while moving the crank to expose the connecting rod registers and replacing the bearings.
Mazdaswag.org parts distributor confirmed this piece as the balance shaft assembly (BSA) , which you first pointed out. I don't understand how that was reassembles incorrectly: four bolts came off, then four bolts went on with the unit sitting flush. If either the gears failed to align or another obstruction occurred the unit would not have sat flush, supposedly. That said, if it is not the timing (as dismissed above following your analysis) then my guess is the BSA.
Or, perhaps one of the connecting arms registers came undone/loose due to the one-time use torx bolts that I simply reinstalled rather than replacing. Also, while a torque wrench set to 15 ft lbs was used (aiming for that plus 90 degrees), those bolts tightened hard without reaching the point of indication of that torque so I stopped pushing hard in order to avoid stripping the heads.
Or perhaps I tightened too much and the bearings jammed then broke? That happened in the Tom Clancy book on a Russian nuclear sub, much like the O ring on the space shuttle: some small piece causing catastrophic failure.
So, the four options seem to be: timing (discarded), bearings broke (unlikely), connecting rod register bolt broke (maybe?) BSA incorrectly reassembled (most likely).
Is a BSD you mentioned below the same as the BSA (typo maybe?)? If different and inexpensive and serves the same purpose and allows to remove the currently-installed BSA that likely is the cause of the violence in the motor, that seems to be a good path.
I have a m4a (iPhone) recording of the engine noise (started it a third time for the sole purpose of recording the sound to then take to the mechanic). Would hearing that confirm/negate any hypotheses? If so, how could I share that - this file format not accepted here.
Thanks again.