The Supreme Court's power could be diminished if it were to give advisory opinions or seek out cases because it would create the appearance of political bias. The Supreme Court is designed to be an independent and impartial arbiter of the law, and seeking out cases or giving advisory opinions could give the impression that the Court is promoting a political agenda. Additionally, this could undermine the Court's legitimacy and create a perception of judicial activism.
On the other hand, some argue that the Supreme Court's power could be enhanced if it were to give advisory opinions or seek out cases. This would allow the Court to take a more proactive role in shaping the law and addressing important legal issues that may not otherwise be brought before it. However, this would require a significant shift in the Court's role and would likely be met with resistance from those who value the Court's traditional role as a reactive institution.