Personally I'm not a mac.
But our software build system is able to create applications for Mac, Windows and Linux.
As far as I'm aware the Mac builds are supposed to work.
If I remember correctly, please correct me if you are already aware of this, to install the Mac version you need to unzip the downloaded zip file (lompsa.osx64-0.6.2.zip in your case).
After unzipping you will find a folder called lompsa.app, this folder then must be dragged and dropped on the 'Application bar', or whatever that is called in a mac. Its the bar at the bottom that holds all links to installed programs.
We however run the same software on our hosted wallet platform, its available at https://lompsa.com
To anyone on a mac reading this. Please correct me if I explained it wrong.