> The 2019 election - just like the previous 3, subverted the popular vote by way of First Past the Post. Nationally, the pro-leave side only secured a minority of the vote.

Labour's official position is to negotiate a deal and then hold a final referendum. [1]

So there were three positions in the election (leave, remain, vote again) and leave won the largest share of the popular vote.

1:https://labour.org.uk/page/labour-brexit-plan/

But even so, the largest share were not the majority.

The majority of the country doesn’t want the Tories to negotiate the withdrawal. But that’s what is going to happen.

I don't think proportional representation would fix that.

PR would probably lead to even more parties with each having fewer votes and none ever having a majority.

I think that would a feature at least as much as a bug. If the national government becomes focused on doing the most essential things and is forced to build broad-based, cross-party coalitions to accomplish that, it seems that causes the people to be better represented than if a majority party can cram through their point of view without worrying about trodding over those (temporarily) in the minority.

Plenty of other countries have managed to get PR. So, this is a hypothetical objection only.