The fact that Inoda forced her to stay with Kirito is a perk from the future. As far as I remember, Inoda and Asuna haven't even talked about Asuna and Kirito's relationship yet. Perhaps in the future, when Asuna thinks about breaking up, Inoda will really force her to stay with Kirito, as it was said in the perk. Maybe even by the end of the quarantine... After the last 0.80 scene, it looked like Asuna had taken the initiative to ignore Kirito's feelings. That's why I wrote that at the moment their relationship looks very weak. She doesn't seem to care about Kirito either, but she doesn't think about ending it either. It looks strange.
I agree with this, perhaps Inoda will corrupt Asuna to such an extent that she herself will begin to enjoy what is cheating on. Then everything that is happening now would look logical, but so far it has not been discussed yet. Kirito, like Schrodinger's cat, is in a superposition

. Asuna needs Kirito and doesn't need him at the same time. She needs him because Fujino said so, but judging by her actions, she doesn't need him at all.