The difference is just the version number of SSSP. If you want v1.3, change the command to:
aiida-pseudo install sssp -v 1.3 --download-only
The archive that is downloaded this way is different from the archives that are on the Materials Cloud. They are not the same. The archives from Materials Cloud are not compatible with aiida-pseudo install sssp --from-download. You should only use the archive that was downloaded with the same command.
If you need SSSP/1.2/PBEsol/efficiency you need to specify v1.2 and PBEsol as the functional when downloading the archive:
aiida-pseudo install sssp -v 1.2 -x PBEsol --download-only