“From Within” question (Fallout 4 Spoilers) Timeline
1. I build the teleporter into the Institute. 
2. I talk with Father, and i choose not to side with the Institute. 
3. I start doing the BOS questline, and i get to “From Within”, but since I can’t get back into the Institute, I just talk with The Elder Maxson and the quest is done. 

My question is this: would Doctor Li return to the BOS, and if so, would that change anything?