I would imagine they are attractive in that field because of the nature of the biochemical material being sensed (mostly fluids). SH waves do not radiate (much) energy into the material under test.
This means all the acoustic energy is in the wave and not lost. This translates to better quality factors and better sensitivity.
In rare cases, the energy leakage can also alter the material under test itself, and cause a chain reaction, or even just "stir" it around.