No. The PS3’s hard drive capacity (320GB, 500GB, 12GB, etc.) has **zero effect** on display compatibility.
The PS3 connects to **any TV or monitor with a compatible input**:
LCD vs. LED: These are just **backlight technologies** for the *panel*. Both receive the exact same signals via HDMI/Component/Composite. The PS3 doesn’t know or care.
**Bottom Line:** A 320GB PS3 works perfectly on a 2004 Plasma, a 2010 CCFL LCD, a 2016 LED, a 2023 OLED, a CRT via SCART/Composite, or a 144Hz gaming monitor via HDMI. Drive size is irrelevant.