I actually found this element to be quite plausible. The new company that acquired SAOs old developer was a lazy/greedy piece of shit. They fixed the hardware in the years SAO was running, but aside from that, they didn't just reuse the game engine, or graphics assets, they imported the entire SAO data and reskinned it, slapping on a magic and flight system while scrapping the sword skills. It's not like they're going to get sued, they bought the company.
It would have been better perhaps, if it was a slightly out of date version of Kirito (a few months off or something), but like you said, I'd guess the up to date stats are due to the process of pulling Asuna over instead of letting her log out. They just grabbed all the data and refused to let her log out. That brought over all of Kirito's stats, and Yui as an item.