Yes, typically if a motion is not opposed, whatever the ‘relief’ being sought might be, is granted.
BUT, in reading the above excerpt, it sounds like Soetoro/Obama didn’t answer an earlier motion for judicial notice. The court ordered them to ‘show cause’ and explain why they didn’t respond. According to Hemenway, they filed something called a show of cause, that wasn’t actually a show of cause. So, having not answered, presumably because they had no objection, the court still required them to respond, rather than granting the ‘relief’ sought. It seems they were offered another ‘bite of the apple.”
I don’t think the Soetoro/Obama team has much cared to date about what is filed. So far, they have been aided not only by the courts, but by some of those challenging his eligibility, who were more visible than others. They are convinced that no judge will take on a case about the eligibility of this historic president, and that’s all they need. Hopefully, some judge or judges will force the issue and not be concerned with the political aspect so much as the legal.