Prominent backbench MP Sarah Champion launched a campaign against VPNs previously, saying: “My new clause 54 would require the Secretary of State to publish, within six months of the Bill’s passage, a report on the effect of VPN use on Ofcom’s ability to enforce the requirements under clause 112.
"If VPNs cause significant issues, the Government must identify those issues and find solutions, rather than avoiding difficult problems.” And the Labour Party said there were “gaps” in the bill that needed to be amended.
update: I think not only the handshake packets contain a recognizable pattern. look at “Subsequent Messages: Exchange of Data Packets”
https://www.wireguard.com/protocol/
especially if the receiver/sender_index and the counter are what I think they are.
also have a look at this page: https://www.wireguard.com/known-limitations/