Now, I will just assume that Sel has not thought it through and my annoyance with this is futile. But there is simply no way that this would be anywhere near possible.
First off, having lived through millions, or even a few thousand, of resets, would make Maya's (mental) age exceed any human being by far. Not only would that have enormous negative effects to one's mental state (and by that I don't mean making Maya "cool and reserved" and somewhat arrogant and all-knowing), it would also make it near impossible for her to reliably remember anything about any previous resets, let alone small details like if Ami ever worked as a maid just once during the previous million timelines.
I just don't understand why Sel chose such a ridiculous amount, and again, if there is any indication that this is meant to be highly exaggerated, please let me know.
Because either, Prime Maya was actually massively mentally fatigued, to the point that she must have been probably hallucinating half of the time, as her capacity for retaining memories would have had to be exceeded at least tenfold. Or, it just felt like she lived through millions of resets, and actually there were only a couple hundred that lasted like 3 days (she did mention that she often just fucked the "bad" Akiras and made them disappear in front of her, I assume making people disappear liek that accelarated the resets? I might remember wrong) and maybe around 50 full on (almost) 1- school-year worth of resets. Which would still make her extremely frustrated and emotionally vacant, but at least to a realistic extent that would be plausible.