These apps have been patched to bypass PSN login from the system. This allows you to use the app without having to also have a PSN account, or having to login to one. There are mainly 2 types of patches. The 1st type is EBOOT/SPRX (any ELF) file patches, which directly edit the executable and repack the ELF. The 2nd type is patching any other file (usually JS/SDAT) that controls PSN login.
CFW consoles can use either package, while HAN users cannot use any app that has a modified EBOOT/SPRX file. There are also HAN/OFW (etHANol) packages available for some apps, which allow these consoles to also bypass PSN login prompts. All retail packages should install on HAN/OFW consoles without issue.