Open-sourcing hasn't cultivated much in the way of public engagement with the projects, but it's done a lot in terms of making development easier for the range of contractors + VA employees we have, and (IMO) nudged toward better decision-making with the underlying knowledge that everything we do is publicly viewable.
Other federal agencies routinely come to VA asking to learn from their digital modernization efforts, and I suspect the open-source stance has been a big part of that.
(I also work at Ad Hoc. It's great!)
[1] https://department-of-veterans-affairs.github.io/va.gov-team..., repository links at the bottom