'Cog’noscenti, very good! I’m not, but…
I assume it’s a torque converter-equipped gearbox a bit like this
with planetary gearsets, rather than an automated manual, so the design will be completely different to the manual.
I suppose that if you take the view that Mazda has deliberately designed the manual ‘light’ and rather overdone it, and has taken the same approach with the auto, then you might think that is ominous - but I wouldn’t extrapolate in that way. And I would expect it to be more reliable than any sort of dual-clutch transmission such as the DSG or Powershift. [see second edit below - the auto is not a new design gearbox]
EDIT:
Another thought. One reason that has been suggested for the supposed fragility of the gearbox is the low reduction final drive, which puts more torque through the gearbox than would otherwise be the case. Could the same apply to the automatic? The final drive ratio on the manual is 2.866. On the auto it is 3.454 which is more favourable in this context. However, using the brochure numbers the overall ratios for the auto look very different to the manual so a bit more digging (or a real expert) might be required. I’ll crunch a few numbers (not gears).
EDIT 2:
I have done gear tables and on the brochure numbers the auto gearing appears to be much ‘longer’ even with the higher diff reduction so maybe I have missed something - it looks as if the auto needs more reduction overall to end up with even vaguely similar gearing to the manual. Perhaps somebody else can solve that one. Meanwhile, I unearthed a reference to the gearbox type being the SJ6A-EL. This is not a new gearbox, it appears to have been in use for the MX-5 since 2006 and on the RX-8.
E&OE, I am not an automotive expert of any kind so please don’t rely on any of the above. Perhaps a real expert will come along to solve the gearing question, or find my mistake or wrong assumption.