(...) when all major apps is compressed for a one install all
Most of the apps are already compressed because their authors releasing them as compressed ELFs. However, using PS2-Packer You can decompress them to vanilla form (not all, depend of structure), a compress again choosing better algorithm and newest ps2-packer available. If You have to much free time i.e on quarantine, You can do that and save some even 50-100KiB per ancient app.
PSU is (which I believe You have in mind saying "compressed"), a container designed for... saves. No one would care about it if some games wouldn't use time stamps and/or file attributes as security layer. There are many other container formats (MAX, XPS, SPS etc.) but only this one is superior over all of them because only this one preserve all this stuff. In PS3, Sony designed container called PSV which is also nice but... filename cannot be changed as it is part of validation (what an idiots...) so PSU is still the king. It doesn't use any kind of compression (and actually it a good idea because anyone can use compression algo what he likes, i.e I'm using LZMA in 7z archive).
Many years have passed and... one guy discovered OSDSYS exploit, call it Fortuna. For some reasons, it works only if it is first item in the menu on Memory Card view. OSDSYS, sorting displayed saves by modification date. So Fortuna and other *Tunas, must have always date far from future to avoid be degrade in saves view to lower lever and automatically will stop works until user delete the saves on first positions. So, it means that we need set date. This can be done by setting time and date manually in console setting, and just copy and paste folder with *Tuna and after that, change date again to real one. But hey, we have PSU with time stamps support, rigtht? So that's why it is in use for exploit installation as uLE during unpacking set the modification date from the one set by PSU file creator, free user from annoying settings changing.
That's the story behind PSU in *Tuna usage (Fortuna, OpenTuna, FunTuna; maybe it's sound fishy but... pun intended

).
Consider PSU as "uncompressed RAR" and compressed ELFs as... compressed ELFs

(well, ok, like i.e compressed PE (*.exe) by UPX).