I don't know what is the popularity with VPN these days.
They don't offer you good privacy, since the VPN provider will know your identity,
Did you read the OP ? It is not about privacy here. It is about BEING ABLE to connect to the bitcoin network.
OP never mentioned he wants enhanced privacy.
Additionally, anyone can see traffic to/from the bitcoin network. With a VPN, noone except you and the VPN provider knows that YOU are connecting to the BTC network.
So.. it does increase privacy. Even if that wasn't the intention of OP.
Just install Tor [...]
Why should he use TOR? It is WAY slower. It is just not worth the hassle if you don't insist on hiding the traffic from the VPN provider (which OP isn't).
TOR might be helpful in some situations, but it is NOT a panacea for everything.
I'm just talking about why VPN shouldn't be as popular as it is, not just for OP.
Tor is perfect for censorship resistance. You can't be guaranteed that your VPN will not mess with your connection to the Bitcoin network or that your ISP will not block access to your VPN or all VPN traffic for that matter.
Tor is simply a lot better then VPN in pretty much every aspect that is needed by the wider population.
There are some use cases for VPN, but to avoid censorship or increase privacy, it is quite a stupid choice compared to using Tor.
As for the speed, for Bitcoin purposes, I don't think it is significant. If you want to watch videos online, sure, but otherwise use Tor.
Now I will be honest, I know why VPN is more popular then Tor. It is the same reason why Windows is more popular then Linux.
You don't see Tor advertising it self on youtube videos and stuff. Nobody earns money when you use Tor, it is free, open source, that is the point.
VPN tech is good for some purposes, but nowadays they are commercialized, sold to people when they don't need it.
Most VPNs should be run by people that use them, most VPNs shouldn't be for open access by people that don't know and don't trust each other.
That is all I am saying.
If you want to run Bitcoin over a some network, run it over Tor, not a VPN.
Unless you have some specific purpose for your traffic to be routed over some specific network, you don't need and shouldn't use VPN.