...not all HDMI cables are the same and if you want 4k 60fps then an HDMI 2.0 is essential
HDMI 2.0 is a standard for the sockets on gear. Cables aren't rated by that. God knows why they couldn't unify cables and sockets on a common standard, but that's just one of those things.
HDMI has been with us for almost 20 years. The first generation of cables were just 'HDMI', but when 1080p arrived then something faster (higher bandwidth) was required. That's when we got Standard-Speed for 1st gen stuff and High-Speed for stuff that could do 1080p.
Things stayed this way for quite a while until 4K UHD came along. Early 4K could be handled by High Speed cables as long as the cable length was fairly short.... if you could find a 4K source. The TVs were out for ages, but it took a while for 4K UHD Blu-ray to hit the market. When they did, the signal was just 24Hz UHD, and so that is within the spec for High Speed HDMI. Then we got HDR and Wide Colour Gamut and ATMOS audio. That was the point when ' we got a fairly rapid evolution of HDMI connector standards and the cables to go with them.
For those who need 4K UHD at 60Hz then the cable required is a Premium High-Speed cable. This will handle 18Gbps of data. By comparison, a normal High Speed cable handles 10.2Gbps.
In order for you to get 4K 60Hz from your Sony console then one of your cables had more than 10.2Gbps. The others didn't.
The next step up is where the signal is either 4K 120Hz or 8K 60Hz. For this, the connector standard is HDMI 2.1, and the cable is Ultra High Speed Certified. It can carry up to 48Gbps.
Heres a useful list of the cable speeds:
https://www.hdmi.org/resource/cables
Cable certification, or more specifically, the lack of it, is a bit of a headache for cable buyers. There's a lot of stuff sold by discounters that never gets tested and Certified. Some stuff even carries fake certification stickers.
Here is a primer on HDMI standards including Certified and uncertified cable
https://www.howtogeek.com/703147/how-to-avoid-buying-a-fake-hdmi-2.1-cable/