I just booted up my copy of the demo and you're right. I got the abbreviations backwards. Either way, I still don't think "the characters have MP" makes it anything particularly like FFVI.
I mean, it's "like FFVI" gameplay-wise in the same way it's like many other classic turn-based games. FFVI was just an example, and not one that was intended to be twisted into scenario/story comparisons. Seems like a miscommunication.
There's really not much that differentiates FFVI's combat from others. It's fairly barebones. The biggest differentiating factor is magicite customization, which is vaguely similar to Octopath's job customization.
The most apt comparisons for Octopath's systems would be FFX (turn order) and FFT (job system, learning passives, JP currency for job abilities).