For commercial-closed software, we observe overhead as many companies are working separately on the same functionalities implementation. These companies run as well safety analysis on their own. Time and money is lost on creating several time the same features and checking safety.
Open source projects improve software quality by applying the following statement - “With enough eyeballs, all bugs shallows.”
Multiplication of actors (ANSP, industries, regulators and international organisations) using and so assessing the safety of their software will combine different perspective for the safety analysis. Let me explain, if different actors playing in different fields in ATC look at a software to prove its safety they will have different perspective (and be interested in different part of the software). By combining these perspectives, their is more chance that the software is fully safety analysed. This will cross-fertilise and increase the solution level of safety.
These actors assess the safety of the same functional block bringing more information, consequently more safety cases can be built. Sharing of safety analysis content and results reduce the cost of safety. Each software user does not need to run a full safety analysis but can built on top of information given by others. It will be almost criminal to use it blindly but as content as well as result are shared adoption is foster and safety cost is driven down. This leads to a situation where the level of safety increases and less money is required.
Proprietary solutions lead to effort fragmentation. Only few people have a complete access to the software. The company releasing the software will provide required evidence of safety compliance, however only people inside the company will have a deep access to the software to test it. Users will be able to test the solution as a black box, where people having access to the source can be tested as a black box of course but also as a white box. Better testing – better safety. Requirements traceability can be observed by user on their own and not only demonstrated by the provider.
In addition, effort available inside a industry company is reduced compared to a whole community working with the software. The company would also benefit from this. Safety will be assess by the user community, leaving more effort available for implementing new feature (safety compliant of course 
I strongly believe that safety level can be boost by Open Source and Community working arrangent. At the same time, cost of safety will be driven down because spread on more people.
This is something to think about.
Ben