Clerodendrum infortunatum, the hill glory bower, is a perennial shrub belonging to the family Lamiaceae, also sometimes classified under Verbenaceae. It is the type species among ~400 species of "Clerodendrum". It is one of the most well-known natural health remedies in traditional practices and siddha medicine.
Hill glory bower has five syllables.
Hill has one syllable. Glory has two syllables. Bower has two syllables. So, Hill glory bower has five syllables. The statement is correct. The AI system might be unfamiliar with syllables.