Statement I is correct: While the primary aim of homeopathy is curative, the Law of Similars can also be applied palliatively in incurable cases to alleviate suffering by selecting a remedy that matches the totality of the patient's symptoms, even if a complete cure is not achievable. The principle of "like cures like" can still provide relief.
Statement II is incorrect: Kent’s observations describe various reactions following the administration of a homeopathic remedy. There is no specific "ninth observation" that states that prolonged aggravation and final decline demand palliative treatment in the conventional sense (i.e., non-homeopathic palliation). In homeopathy, even in cases of decline, the effort is to find the most similar remedy to ease suffering according to homeopathic principles, rather than resorting to purely allopathic palliative measures that do not consider the totality of symptoms or the vital force.
Therefore, Statement I is correct, but Statement II is incorrect.