I've actually found the opposite to be true. Sites seem to focus more on preventing scraping and block VPS IP's more often than commercial VPN. For example, Craigslist on Digital Oceans IP's is hilariously throttled to ~256 bytes per second. Crunchbase always tosses up a CAPTCHA. This was mostly the same for Linode.
Ironically, 256 bytes per second is probably still enough to make Craigslist usable... Web design right out of the 1200 baud modem era :-)
They've zapped some of my AWS subnets but not others. It doesn't appear to be a dynamically updated blacklist.
Craigslist blocks PIA. I find the utility steadily decreasing as more and more sites block their addresses.
Please make sure to report that to PIA support, they do have some solutions available. Worst case, it gives them evidence that it's time to rotate IPs.
> a non-zero number of PIA's IPs are blocked on many sites
The Swiss and Norwegian servers are blocked on almost no sites.
I ran into that at times, but it's so infrequent, I don't consider it a drawback.