To answer your question: yes, from a technical aspect, switching the secondary computer's mouse setting to "Left" works.
Thank you, Sean. I appreciate the tone of your response. Any curtness in my posts is because this issue was known in 2013, and yet it is still present in the 2020 version, in software for which I paid money on the assumption that I was buying thoroughly tested and debugged professional quality product.
I'm a long-time customer of Stardock. I purchased Start8 and its upgrade to Start10, Modern Mix, Fences 2 and its upgrade to Fences 3, and Groupy as stand-alone products before I decided to get Object Desktop. I even bought Bins, an app that was associated with Stardock years back but is apparently no longer yours.
My reason for buying Object Desktop after owning about half of it already, was to get Multiplicity, Tiles and Spacemonger. The rest, I have no interest in. So imagine my frustration at finding this issue upon first use.