I think the folks that pay for these programs have the wherewithal to simply cut a check and its no big expense to them compared to what they stand to get out of it. 

Beyond immediate safety concerns, the long-term financial implications, including taxes, are a pressing issue for those impacted by the disaster.

Some have done owner financing with an agreement to pay all interest and equity splits when the home sells others have done it where they do a quitclaim adding their name onto title with the seller so once rehab is done the seller can't try and cut you out of the deal. 

I don’t understand how this isn’t a clear-cut case.

Some banks and lenders will cut you off at 6-7 even if your DTI is below the normal percentage.

The reality is you need to move off a few factors---fast solutions have slow problems, due diligence, have a healthy safety blanket reserve wise. 

What would a fair cut of the profits be?

I don’t want to just cut cost though I want to understand what I’m doing and be super hands on.

Their interest, like a real estate agent, is simply to churn incoming flows of money at a high rate in order to get their Commission and their cut.

Ask for seller concessions to cut down closing costs.