most people found ways to work around it for ps3 and would have found ways for ps4
There were only two work arounds and neither was exactly amazing.
The first and most common was simply using composite cables. This typically resulted in having to find / buy them for the PS3, which wasn't hard, but you generally didn't want to cheap out and get some that hamper your footage either. This also resulted in companies like Elgato tossing in a convertor to allow nonHDMI capture.
The other was getting a splitter / sometimes that removes the HDCP signal. These can range 20+ dollars and I might be overly cautious, but I rather not have a record of buying one. I rather not have to explain why I am trying to circumvent HDCP when I have simpler solutions.
The work around was to use composite cables... Which the PS4 doesn't have this ability natively.
In theory, you could buy an HDMI to composite converter, but there is no telling if that would have actually worked.
There is also the splitter like I mentioned.