Exactly, it is about transparency. You get to choose what it is used for and they follow through.

This is right. We, of course, use both bank accounts for overall efficiency. What's important to know is that donors are able to: a) Choose exactly what they want to give towards b) Donors see the family profile and move-in video that their donation was allocated to. This holds us accountable and shows results to the donor.

example: https://impact.newstorycharity.org/families/SV-FC-AHUACHAPAN...

That doesn't mean as much as it sounds like it does, though. Suppose an organization has $100 of "houses only" money, and another $100 of "general fund" money, $20 of which is also spent on houses. Now say I donate $5 of my own money to "houses only". There is absolutely nothing stopping the org from (and arguably nothing wrong with) reducing the "general fund" spending on houses by $5, so that the ultimate amount that goes to houses is unchanged.

That's not how it works with New Story as they are not putting their own operating funds towards funding houses. It'd be odd and a question in the auditing process if a non-profit operated the way you described.