We will never know, but remember the poorly underwritten, bad mortgage loans (many brokered), were created by the banks, not the GSEs, put into Private Lable Securities (PLS), backed by the banks, inaccurately/falsely rated by Moody's and others, and heavily marketed around the world, suggesting--wrongly--they were doing what the GSE did successfully.
F&F's real losses were minimal and importantly, they had market access for their securities (debt and MBS).
But, they were politically poisoned, not business failures.
Historically noting, no other financial service companies in that era were forced into "Conservatorship," where the two remain.