Synergy with Martial Mind meant something very specific in the context of Rui's Martial Mind.
It meant a technique that grew more powerful the more foreknowledge of its execution that the user had. It could also mean a technique that was extremely powerful innately but required some amount of foreknowledge of execution.
Phantom Step was nothing too special by itself, but it had an extremely high affinity with the VOID algorithm and the SOUL System, allowing it to function as a powerful grade-ten technique when he used it with his Martial Mind..
Flux Earther fell into a similar category, although it was an inherently stronger technique.
For Project Heavy Hitter, Rui knew that it would most certainly be far more synergetic simply based on how the Yin-Yang Shield technique worked. Master Vertol needed to keep the technique active because otherwise, he would not be able to use it to defend in time against attacks.