The AC doesn't use the phrase "Air Operator" anywhere, it simply uses the word "Operator", which (as has been pointed out) is not specifically defined anywhere. But Part 91 uses the word "operate" (and its various conjugations) all over the place in a way that unambiguously means the pilot.
True, but as far as I'm aware, it never uses the noun "operator" in a way that unambiguously means the pilot.
It's instructive that CFR 161.5 defines "aircraft operator" more narrowly--a person does not qualify just by virtue of being a pilot. Admittedly, that's "aircraft operator" rather than "operator"; and it's only defined for Part 161. Still, it seems implausible that the AC's undefined reference to an "operator" of an aircraft means something much different than the FAA's only available definition of an "aircraft operator".
It's also instructive that the AC starts by listing (section 1a) several uses of electronic record keeping, conspicuously omitting pilot logbooks. Admittedly, those are just examples; they're not exhaustive. Still, pilot logbooks would likely be the most obvious and common example if they were indeed within the scope of the AC, so it would be odd to leave them off the list.
For those reasons, I believe that if the FAA were to challenge the validity of a logbook with an entry signed in this manner, if you could show that it "conforms to [the AC] in all important respects" that it would in fact be acceptable.
I don't think that's in dispute. The disagreement here concerns the inverse: if an electronic logbook does not conform to the AC, is it unacceptable? Without any documented examples of nonconforming electronic logbooks being rejected during the past decade that they've been widely used, I think we can conclude confidently that there is not a problem.
In contrast, I would expect that if, say, an FBO were to submit its required records and signatures in the form of a plain electronic spreadsheet, the FAA would balk even if they had no specific challenge to any specific entry.
EDIT: By the way, I just glanced at your MyFlightbook--very impressive! I can certainly see the benefit of preparing for the day when the FAA wants to apply its electronic-records standards to pilot logbooks.