Sine the inception of the HDMI format, the cables have had the "bandwidth" to support full 1080p video transmission (read the first part of the answer to this FAQ). As the spec has matured and the version numbers have grown, support for additional features is what has been added. Nothing has changed regarding the cable's capacity for transmitting video. The addition of ethernet, audio return channel, etc. are what has been "evolving" on the HDMI front for the past couple of years.
The marketplace for "cables" is so inundated with false claims, exaggerations, made up BS, and dowright LIES that you really can't trust much at all of what is written on packaging. "Optimized for 120Hz" - complete nonsense. "Fast", "Faster", "Faster than Faster" - hogwash.
When it comes to video signal transmission, if it says HDMI that's all you need to know about the cable.
With the Playstation as the source, ancillary features like deep color, or other expanded color space are more likely to be the culprit - as these are the kinds of things that pre-HDMI 1.3 cables are more likely to have issues with.