Actually, my experience is Netflix blocks some of the time; Wikipedia blocks (edits) all of the time (which really pisses me off - I'm logged in!); and nothing else that I use blocks me.
Doesn't seem to be the case 'most of the time' for non-free VPNs or at least mine. You can definitely access YouTube videos available abroad or BBC iPlayer or whatever. I'm on VPN a 3rd of the time and it's only very occasionally I have issues. Sure, maybe it's worse with some services but not 'most of the time'.
(FWIW, I could accept an argument that I am not "weighting" my certainly-informal statement well on actual usage figures: if NordVPN and ExpressVPN are even the only two VPNs that work well against the BBC, maybe they are alone a considerable percentage of the market. I am pushing back on the idea that "any" VPN would work, and so I am looking more at the idea of choosing a random brand, equally weighted.)
> In iOS 15 and macOS 12, Private Relay will apply to all web browsing in Safari, all DNS name resolution queries, and a small subset of traffic from apps.
> Specifically, this will include all insecure HTTP traffic, such as TCP port 80.
So I can see most services not needing to block iCloud Private Relay.
Actually, most of the time your VPN is just going to be blocked entirely by the service: they have a limited pool of IP addresses being shared by users, so the patterns of access of users randomly popping up on their addresses makes even automated bans pretty easy.
https://news.ycombinator.com/item?id=28143238
To really get this right requires crazy tricks like taking all of the traffic destined for a service and routing it to per-user stable addresses that you cycle much more slowly. NordVPN seems to do this with Disney+, for example. There was a great analysis of this done (but to get it you will need to use an archive site as the author mysteriously deleted it).
https://news.ycombinator.com/item?id=21664692
The result is that users trying to do this tend to have to keep using different VPN services until they find a server on one that actually works today, and probably in the process keep accumulating subscriptions to "too many" VPN services for "too long". A lot of random review sites are then just claiming to tell you which service is best able to access such content at any time (but honestly, it is a losing battle: there is no obvious way to win this in the long term).