While your latter conclusion is amenable to mine, the part in bold is questionable. Banks aren't going to give loans in the absence of the SIVs they had prior. So to assume "they" refused to give loans is mistaken. Their playing field changed, so they reverted to the prudential model (i.e. emphasis on risk assessment).
Who said the banks refused to give out loans?
I should have clarified that people aren't asking for loans because of debt saturation. If no one is asking for a loan, the bank cannot issue them.
SIV? You know that an SIV is just a banking business model concept right? Purchasing long term debt and selling short term debt and arbitraging the difference in rates. Except without all the leverage that banks can use. Banks don't use SIV's, Commercial banking concerns with shadow components might, but Banks (hometown) by themselves can ratchet the profits up higher due to leverage than the best managed SIV can. Shadow Banks do not make loans to the plebs either. So SIV's don't have much to do with general price inflation. Equities perhaps, although I would counter that the HFT scammers are to blame for some also.
You cannot have inflation without the masses having a share of the riches. Since the top 10% of the nation owns 95% of all the stocks and bonds, most people have not participated in the Equities inflation.