Ch'ak likely wouldn't intervene with the mats unless they incurred their wrath by taking over one of the few worlds that the Ch'ak'ii specifically avoided harvesting thanks to a life-sustaining planet existing within it. The Ch'ak'ii have a habit of 'claiming' systems they plan on ripping apart since it takes so long to harvest one, and they also do it to systems with life they come across (though it's only been a small handful at present) to protect them.