Seriously, stop with the "how do I catch" questions. There are no tricks to catch one species over another. There are no hidden mechanics. Lower health, inflict paralysis or sleep, then chuck your best nets and hope for the best. That's it. That's all. Now please, please, please, stop asking as if there's stuff you're missing. You're unlucky. Try again.
What Quicken is useful for is in a fight where you've got multiple manamon to kill. It will basically ensure that you attack first with each new manamon. If a Martiagle uses Quicken once, then Hone Blade once or twice, it will be faster than basically anything that comes out fresh, so it will have a round to hit (and hopefully kill) without the foe being able to do anything about it. So it's much more useful in a multi-manamon fight (not a brawl or whatever, but a six-on-six one-at-a-time fight, for instance).
https://www.dropbox.com/s/z8ls3rc3f4mkb … n.txt?dl=1