The phrase "real willingness" means genuinely wanting or being prepared to do something. It refers to having a genuine desire or readiness to take action or make an effort. Full definition
The town requires an uncoerced but very real willingness to cooperate, to be part of a community. (religion-online.org)
You'd think that first term would led people to real willingness to reach for something more and the second tem would lead to real exploration and real change. (nakedpastor.com)
The team appeared disorganized and unmotivated, lacking any real willingness to fight for the ball, and possibly even worse, lacking confidence in their teammates. (laligablog.com)