Does Kane actually die in reality or not? The Black Ops timeline in the wikia seems to suggest as much although I am not sure myself how trustworthy it is. I assume the following section from Player (Black Ops III) is correct in regards to what happened in reality excluding the first of three paragraphs.
"Kane rescued the Player, taking them to Zürich to recover. She explained that a manual DNI purge was the only way to stop Corvus from taking control of the Player's mind, which would cause their memory to be wiped.
Having had their consciousness put in Taylor's DNI, the Player managed to assume control of Taylor's body in the real world, since Taylor's consciousness was apparently dead after the events of the simulation. No longer in an immersion, the Player fought through the streets of Zürich, where Corvus had unleashed chaos in an attempt to stop the Player from getting to the Coalescence HQ and wiping Taylor's DNI. Despite the chaos, Kane and the Player managed to get to the HQ, where they found illegal weapon experiments, including Nova 6 research. By faking a containment issue, Corvus tricked Kane into manually override the computer systems from within the containment chamber, before unleashing the deadly nerve gas on her. As she died, she warned the Player that Corvus can trick people into believing things that aren't real.
Devastated at Rachel's death, the Player proceeded to find Hendricks holding Sebastian Krueger hostage, demanding an end to the DNI experiments. As Hendricks killed Krueger, the Player, believing Hendricks to be infected with Corvus, did not hesitate to kill him. The Player then turned the gun on themselves and pulled the trigger."
Also from John Taylor's page...
Taylor, Diaz, Hall and Maretti are assigned the roles of Stone and his team. However, when the simulation reaches Lotus Towers, Taylor fights back against Corvus and tears his out to avoid killing the Player. However, Taylor is then killed by Hendricks in simulation, who comes under Corvus's control in reality and leaves the Player to die in order to find and interrogate Sebastian Krueger.
If these are correct, Kane's status in reality also needs to be changed to k.i.a. I'd appreciate some input though since I am not 100% I have all the details right in regards to what happens in reality.
'{{SUBST:User:Charged151/sig}}' 11:44, December 26, 2018 (UTC)