And this is the main reason why adding Yui to the plot has been such a weirdly discussed thing beyond the "adding a loli character"-reasons, and why this AU having her actively not around was one of the key things allowing the plot to even happen in the first place...if Yui had been as active as she was in Canon, Inoda would have been taken away by the police ages ago at the minimum, Canon treats her so casually as a daughter-type character most of the time but it's easy to forget how fucking scary that little AI is, she literally allowed Asuna to impersonate someone in a government database to gain access to a highly secure facility and pass through all their check-ups (Until she took off the costume like a retard and only the power of plot prevented her from being thrown in jail XD).
Come to think of it, Fujino came up with some strange nonsense with the birth of Yui in the game using a sex ritual. Because you're right, as soon as Yui shows up, she'll probably hack everything she can and find out everything. You might think that the Administrator would limit it, but the Administrator is just a program with some freedom, and the Yui is a full-fledged AI with an independent core. In SAO, Yui could even simulate touch in the real world by using nerve stimulation. There was a moment where she "took" Kirito by the hand in the real world, causing his muscles to contract with the help of a VR helmet.
If Yui is born and, thanks to Inoda's luck, behaves like a little dumbass, shouting "daddy, daddy!" to Inoda, I will be very disappointed. Another useless character for the plot. And introducing a character like Yui just to increase the rift between Asuna and Kirito is, well, silly to say the least. This can be done without her. Even a device donated by Liz can handle it. And so it turns out to be either a dummy or a help for Kirito. Because Yui knows Suguha very well and she probably recognizes her in the form of a Lifa. But people, as usual, will shout "Whaaaaaat? Kirito's help? This is NTR!! Kirito must suffer!!" Well, then, Yui's fate is to become a pointless nozzle on Inoda's penis, in the worst case.