Practice Alert: Pneumococcal Conjugate Vaccines Approved for Adults | AAFP shows the serotypes covered by the various pneumonia vaccines.
PCV20 is a superset of PCV15 and PCV13, but PCV20, PCV21, and PPSV23 are not supersets of each other. The PCV vaccines tend to generate stronger immune responses than the PPSV vaccine.
Of course, if a future PCV vaccine contains more serotypes that were not in the vaccine you got, you may still choose to get it then. Actually, someone who wants maximum serotype coverage would get both PCV20 and PCV21, but that currently is not in the recommendations.
