The modifier "if a higher value indicates the presence of the disease" is essential because the behavior of sensitivity and negative predictive value (NPV) when raising the cutoff depends on whether a higher or lower value indicates disease
Higher Value Indicates Disease (e.g., blood glucose for diabetes):
Raising the cutoff: You now require a higher glucose level to diagnose diabetes.
Sensitivity decreases: Fewer people with diabetes will meet the new, higher threshold, increasing false negatives.
NPV decreases: The proportion of true negatives among those who test negative will decrease because more people with diabetes are missed.
Lower Value Indicates Disease (e.g., serum albumin for malnutrition):
Raising the cutoff: You now require a higher albumin level (fewer people would meet the lower threshold).
Sensitivity increases: More people with malnutrition will be detected, reducing false negatives.
NPV increases: With fewer false negatives, the likelihood that a negative result truly indicates no maln
Source: AMBOSS - First Aid Chapt 2.6 or the note in the Anking image in the extra feild
see comment section, there are many similar cards and they all make this assumption - correct but not necessary as it's implied