There are no HDMI 2.0 and HDMI 1.4 cables. There are only Standard HDMI and High Speed HDMI cables. If your cable is a HS HDMI and adheres to the specs it's going to support HDMI 2.0a speeds, i.e. 4K 60Hz HDR.
If you bought the super cheapest cable and it's a bit longer you might run into issues. But for as long as you have a decent HS HDMI cable you DO NOT need a new cable.
If it works, it works. If it doesn't buy a cable with that Premium High Speed HDMI cable. It's even in the wording from HDMI.org:
"...special certification designations for High Speed HDMI Cables that have been designed and certified for ULTRA-RELIABLE performance for 4K and advanced features..."







