Will a SATA 3.0 hard drive connected with an old SATA cable work at the correct speed?

Question

Hard disks

I bought myself a hard drive in a new PC, the SATA cables that came with the motherboard are over. I also want to remove this cable from the old PC of 2009. Question:
There is only SATA 3.0, 2.0, etc. interface itself. are the cables the same? Or does the cable, like the interface, also have the corresponding specification?
I also looked at CITILINK right away. Some directly indicate SATA 3.0:
https://www.citilink.ru/product/kabel-sata-iii-ham...
Others do not indicate:
https://www.citilink.ru/product/kabel-sata- tl-ata-...

Answer 1

All SATA cables are identical, if the cable is of good quality and serviceable, there will be no problems.

Answer 2

Connect as is, everything should work.
If you have any doubts, you can download R.tester, it shows the supported and used modes of operation of SSDs and hard drives: https://rlab.ru/tools/rtester.html
If you wish, you can also run a reading test in it and look at the speed graph .