So what do you think? When talking to fPeter she made clear she is against changing the future. Maybe she is taking her dreams as guide to prepare for whatever will happen. It might be better to know what you will have to expect and prepare for it than trying to change the future every time you don't like it.
Moreover: we have seen how the future doesn't seem to change for the better, no matter how many times Peter and co keep bad events from happening.
(Actually the most recent future has some resemblance to that of FYG: Nathan's president and killed by TK, someone with induced radioactivity is blowing up and Claire's got brown hair.