The academic literature has not directly recognised culture as a major factor in project success. I has one stream (below) that recognises that early warnings are a key to success, and many other streams related to psychology and the soft skills required to surface the early warnings. At this stage no one has researched how you most effectively create the environment/culture to surface bad news that may have impact on project success.
The link and schematic below has been provided to help a reader further explore the research on project management by early warning signals Project management by early warnings | Connected Papers
Dvir, D. and Lechler, T., 2004. Plans are nothing, changing plans is everything: the impact of changes on project success. Research policy, 33(1), pp.1-15.
Haji-Kazemi, S., Andersen, B. and Klakegg, O.J., 2015. Barriers against effective responses to early warning signs in projects. International Journal of Project Management, 33(5), pp.1068-1083.
Nikander, I.O. and Eloranta, E., 2001. Project management by early warnings. International journal of project management, 19(7), pp.385-399.