The PlayStation 2 version of The Sims 2 is a stripped-down port. It completely lacks the aging and generational mechanics that define the PC experience.
The PS2's limited RAM (32MB) and single-core CPU couldn't handle the PC's complex simulation, neighborhood persistence, and genetic engine. The console version became a linear, story-driven "Direct Control" game instead.
If you want families that grow, age, and pass on traits, the PS2 version cannot deliver.