Should I understand the Maslow's Hierarchy of Needs as a hierarchy of different emotions sorted/hierarchized by their emotional intensity they create in a person's mind? If not, why?
TKN to the best of my knowledge Maslow himself never associated his hierarchy of needs with emotions per se.
It’s also worth remembering that his Hierarchy is a THEORY and work in the field of experimental psychology, especially animal studies (Panksepp), Fear Conditioning (LeDoux), Consciousness (Damasio) and Interoception (Barrett) while they disagree, have all demonstrated emotions to work in ways that do not map to Maslow’s Hierarchy.
If you’re interested in seeing a schema of Emotions and emotional intensity suggest you have a look at Keltner et al (2019) - Emotional Expression: Advances in Basic Emotion Theory