I kind of see 2 possible scenarios for Liz's extra equipment, assuming it's basically a chastity belt that prevents the user from using their dick online as a way to get revenge on Inoda for basically raping her.
1st is the most common which is Inoda gets it and is surprised he cant use his dick, which leads to both him and Asuna feeling very pent up throughout the trial, either Inoda uses everything other than his dick to fuck with her during the trial which just leads to them rapidly progressing through all the IRL events (we had a footjob last time, could either go straight to BJ or straight up sex honestly).
2nd one which I think might be a reach is Asuna being the moron that she is in this game ends up giving it to Kirito (for whatever reason, maybe she think he "needs" it to complete the quest since Liz said it was necessary for the quest line to complete). But to their surprise, now he can't use his dick and the ritual quest inevitably requires for there to be penetration for Yui to come about, so given the circumstances Kirito now has to consent to Asuna and Inoda fucking in game for Yui to happen. Seeing as Asuna and is already starting to fantasize and even enjoy the idea of "cheating" on Kirito outright/in front of him this could be an even bigger turn on to her since she just made her man a cuck. This again just leads to me more sexual tension ending with them fucking IRL.
I personally think the 2nd one is more interesting but I'm doubtful it'll happen. Probably just gonna get the first one since its straight forward way to force them into "relieving" her stress and it's just a physical thing anyway.
1st is the most common which is Inoda gets it and is surprised he cant use his dick, which leads to both him and Asuna feeling very pent up throughout the trial, either Inoda uses everything other than his dick to fuck with her during the trial which just leads to them rapidly progressing through all the IRL events (we had a footjob last time, could either go straight to BJ or straight up sex honestly).
2nd one which I think might be a reach is Asuna being the moron that she is in this game ends up giving it to Kirito (for whatever reason, maybe she think he "needs" it to complete the quest since Liz said it was necessary for the quest line to complete). But to their surprise, now he can't use his dick and the ritual quest inevitably requires for there to be penetration for Yui to come about, so given the circumstances Kirito now has to consent to Asuna and Inoda fucking in game for Yui to happen. Seeing as Asuna and is already starting to fantasize and even enjoy the idea of "cheating" on Kirito outright/in front of him this could be an even bigger turn on to her since she just made her man a cuck. This again just leads to me more sexual tension ending with them fucking IRL.
I personally think the 2nd one is more interesting but I'm doubtful it'll happen. Probably just gonna get the first one since its straight forward way to force them into "relieving" her stress and it's just a physical thing anyway.