Ternary logic is a pretty niche thing. As I understand it the claimed benefit is improved efficiency / elegance for some mathematical operations when run on a ternary computer.

However since all modern hardware is binary, the use of ternary logic only serves to introduce an unnecessary software based translation layer, simultaneously increasing complexity and reducing performance.

I would consider this to be an example of very poor engineering judgement. Good software is simple software. I would be extremely concerned if a colleague suggested such needless overcomplication.