If you play a game which uses one particular version of that library, then that game will attempt to look for it on your system. If it cannot find it, then it will tell you. If you keep re-installing it also, then that should not be a problem, but that is not your question. The question seems to be testing the logic that the newer 2010 library will have the same functions as the 2005 library, and that the game or software will attempt to use the newer functions. The truth is, it is possible for someone to write a piece of software which will be able to auto-detect what libraries are on your system and make use of whatever functions it needs. So the answer is: that it depends on how they wrote game. You could always uninstall one version and see what happens.
Visual C++ Redistributable Packages for Visual Studio 2013
The Visual C++ Redistributable Packages install run-time components that are required to run C++ applications that are built by using Visual Studio 2013.
Visual C++ Redistributable for Visual Studio 2015
The Visual C++ Redistributable Packages install run-time components that are required to run C++ applications built using Visual Studio 2015.
Visual C++ Redistributable for Visual Studio 2012 Update 4
The Visual C++ Redistributable Packages install runtime components that are required to run C++ applications built with Visual Studio 2012.
Microsoft .NET Framework 3.5
Microsoft .NET Framework 3.5 contains many new features building incrementally upon .NET Framework 2.0 and 3.0, and includes .NET Framework 2.0 service pack 1 and .NET Framework 3.0 service pack 1.
Microsoft .NET Framework 4.6.1 (Web Installer) for Windows 7 SP1, Windows 8, Windows 8.1, Windows 10, Windows Server 2008 R2 SP1, Windows Server 2012 and Windows Server 2012 R2
The Microsoft .NET Framework 4.6.1 is a highly compatible, in-place update to the Microsoft .NET Framework 4, Microsoft .NET Framework 4.5, Microsoft .NET Framework 4.5.1, Microsoft .NET Framework 4.5.2 and Microsoft .NET Framework 4.6. The web installer is a small package that automatically determines and downloads only the components applicable for a particular platform.