Every quarter inch plug you add to your chain causes tone loss, negatively affecting not only your base tone, but accuracy in tuning whereas a clip on makes DIRECT CONTACT to the headstock area providing the utmost in accuracy.
You were not able to pick the clip on tuner portions out in a blind test. Therefore tracking tracing attack sound and tone are not affected substantially enough. Meanwhile your floor unit is literally leaking tone out of those cheap jacks, switch, and additional wiring. It's critical to have DIRECT CONTACT without wires, cabling, and other electronic components. The only way I can visualize a cell phone tuner being superior is if it's fully mounted in a headstock rout with the protective cover removed.