Could PSIII And PSO Be Related?

Ok here's some PS -first series- music in PSO:

- A Longing To Ancient Times PART2 [PSOI&II, track 3 "PSIV/PSI Dungeon 1"]
- Versus2 -A longing to ancient times- [PSOI&II, track13 "PSIV/PSI Dungeon 1"]
- Tricktrack PART1 [PSO EpI&II, track6 "PSI Sky city"]

- The whole new world [PSO, track1 "PSII Main theme"]
- Tricktrack PART2 [PSO EpI&II, track7 "PSII Silent Zone to Hidepipe" and "PSIV/PSI Dungeon 2"]
- Versus1 -Tricktrack- [PSOI&II, track12 "PSII Silent Zone to Hidepipe" and "PSIV/PSI Dungeon 2"]
- A Longing To Ancient Times PART1 [PSOI&II, track3 "PSII Power"]

- Nostalgia in Solitude -PART1- [PSO Ep.IV, track2 "PSIII main theme"]
- Nostalgia in Solitude -PART2- [PSO Ep.IV, track3 "PSIII start anew"]

[if I find more, I'll add by editing this post]