If a public access point has a restrictive network policy, then QUIC will change nothing. There is nothing that QUIC enables that people browsing the web will demand. A user cannot even tell if they are using QUIC (or http2) for that matter.
The network operator is either non-technical and does not care about QUIC; or technical but trying to actively prevent people from using VPN and/or torrenting.
There are many ways to VPN that look like tcp http. tcp over tcp is okay if the connection is stable.