yeah, i thought so. i'll try to explain:
numbers before the first dot are major version numbers
2.6 is the (internal) Aviator version number
37.0.2062.99 is the Chromium version number, which was already outdated when they first used it for Aviator 2.5. you can also see that they did not update the Chromium base when going from 2.5 to 2.6
in Justin Schuh's post you can see why they have to use such outdated Chromium versions, they managed to ruin the necessary feature of version parity themselves. (i am sure you don't need an explanation why version parity would be required)
So...clearly it's updated.
how is that clear? your quote says it does check for updates and if there would be an update it would install silently. that's all.
again, directly from WhiteHatSecurity: "We won’t be making any additional changes to the browser. ". they hope for some (fictional) community to do that.
so, as a final post from me:
if you want to believe Aviator is an "extremely secure" browser, that's fine. if you manage to ignore the new vulnerabilities Avatior has added (and you can absolutely do that. i doubt anyone will ever bother to exploit those as the browser has hardly a userbase), then you would be very correct to say that Aviator is more secure than Chrome 37 with default settings.
it could be worse. if i remember correctly there is also a user here that thinks Internet Explorer 8 (or maybe even 7) is a secure browser.
looking at the screenshots you post regularly it seems Chrome is your main browser anyways.