"One of the loan officers that works at a bank near my office told me about the OFAC list and the SDN list and she told me people on these lists can not get a loan from a U.S. bank?"
Your original statement did not speak of "people" on a list, it spoke of "countries" on a list. You said: "last time I checked India wasn't on the list."
I am telling you that there is no list of banned countries whose citizens with US green cards cannot get US mortgages. If there is a list of actual people banned from getting US mortgages, I have no idea about that with the exception of CAIVRS, but that's not what you said and not what I responded to.