Let us not forget that muscles that serve to move a joint work in pairs: e.g., for hip (a joint) flexion, we engage the iliopsoas and rectus femoris, and for hip extension, the hamstrings and gluteus maximus (butt). We need both sets of muscles to walk efficiently. To dance efficiently, their activation needs to be timed precisely.
Some muscle sets, e.g., the "core" (transverse/rectus abdominis, internal/external obliques) serve the primary purpose of spinal stabilization. For dance, that relates to posture and balance.
When we are told to "relax" certain muscles, that usually means they are overactive, owing to everyday use. E.g., pectoralis major/minor (chest muscles). It would be a mistake, however, to conclude that such muscles play no part whatsoever. Every muscle plays a part, in the correct proportion, of course.
Even the apparently relaxed movements in tai chi require the efficiently timed, synergistic interplay of complementary muscle groups, coupled with a foundational core. For unimpeded chi flow, however, there must be no excess tenseness. The aim is appropriate muscle tone through internal awareness. These are not empty buzzwords.