I mean, that's still nonsensical really, and also again, Suguha has no reason to transfer there because she's not an SAO Survivor XD Hell, Liz canonically was going to the school alongside Silica too since the beginning while in the NTR-verse she 'transferred' during part 2 and Fujino made up that she couldn't go before because of plot reasons, so yeah, most things DON'T make any sense if you really try and look into them using the logic of Canon SAO, Fujino just handwaves them for the sake of NTR or outright doesn't know them as he clearly has barely second-hand-knowledge of the series, but there are know enough people to know or cares enough about it when they're just here for more NTR, so he keeps going just like that :3
At the end of the day, one just doesn't have to think too deeply about it whether they know the series or not, really. The more you try to justify the actions of the characters or make sense of the game, the dumber everything becomes :O