I was discussing this with my girlfriend after we finished that episode, she put Chloe to sleep in her game, but I chose not to.
Her reasoning was basically that if someone is ever in a brain dead state, or in a situation where there is literally no chance of recovery, then it is selfish to force them to stay alive at that point, if they are ready to go or are very obviously never going to wake up, or anything, but either way will never recover or have any quality of life, then you're doing them a favor and they will no longer be in pain.
Chloe's situation is a little less absolute but there was enough information there where she was most likely never going to recover and she simply didn't want to live an existence in her room, costing her family so much money, and she was ready to go after her nice time with Max, so she concluded that she was doing what Chloe wanted with good reason.
I however refrained from putting Chloe to sleep because I didn't necessarily feel like Max should have to experience that and I also felt that it was a little too immediate, so in hindsight I wish I had put Chloe to sleep, but in the moment I felt doing so was a little rash.