If you're not using Yanfly's battle plugins in MV, or the correct ATB mode in MZ, then linked turns will not work, and the user of the dualtech is the only one whose turn will be used by the dualtech. The standard battle system simply has too many reasons why it's not compatible with linked-turn dualtechs.
The component skill is only used for determining skill cost and accessibility. When you use the dualtech, the component skill will not be used directly at all. The dualtech can also have dramatically different effects from any component skills.