Z-ONE doesn’t exist in the 5Ds manga. This was used by the major antagonist Eve in the Arc-V manga. There is also due to be an Armityle inspired Fusion and a Utopia expy known as Number XX. The three work together to annoy their opponent, which is why this doesn’t actually work with Timelords.
Oh, okay. Maybe I should read the manga, because it sounds like it's completely different from the shows, but it's just harder to get a hold on I feel. As for where it is from, feels weird to have there be a guy who uses Timelords, when it's such a huge part of someone's character in 5Ds, but what do I know, maybe it makes sense in the manga.