We had a referendum on a version of proportional representation and the public indicated they weren't interested. As regards disaffection with politics it is arguable that a PR system like the d'hondt method that is reliant on party lists ie you vote for the party not the person would make the MPs less accountable and further divorced from the electorate.
The Alternative Vote that was put to a referendum under the Cameron-Clegg government was not proper proportional representation at all. It was simply a slight modification on FPTP where if the candidate who got the most number of votes but was less than 50% of the total votes cast, then the candidate with the fewest votes would be eliminated and votes redistributed accordingly until there was a candidate who reaches or passes the 50% mark.
For the 2010 General Election, the Alternative Vote would not have changed the result according to a model that was done.
Under the FPTP system used in the General Election, there are quite a lot of safe constituencies, meaning that there are a lot of wasted votes and across a region, the voters could end up with a government that was not voted for. Proper proportional representation means that all votes count (as long as greater than 5% when looking at Germany and Denmark) and voters do at least get governments that have been voted for.
Taking Scotland (and also my native West Midlands minus the SNP as they have never stood candidates outwith Scotland), in General Elections since 1979, it has not had the government it has voted for. The voting patterns are below:
1979 - Mainly Labour, got Conservatives
1983 - Mainly Labour, got Conservatives
1987 - Mainly Labour, got Conservatives
1992 - Mainly Labour, got Conservatives (only just, due to a late swing in the day to the Conservatives)
1997 - Mainly Labour, got New Labour (which were not new, and were most certainly not Labour)
2001 - Mainly Labour, got New Labour (which were not new, and were most certainly not Labour)
2005 - Mainly Labour, got New Labour (which were not new, and were most certainly not Labour)
2010 - Mainly Labour (with the only constituency changing hands was my former one of Glasgow North East from Speaker* to Labour), got Conservative-Lib Dem coalition
2015 - Overwhelmingly SNP (with 56 out of the 59 constituencies, with the remaining 3 being 1 each to Labour, Conservative, and Lib Dem), got Conservatives (only just, due to errors in the polling methods)
2017 - Mainly SNP (reduced to 41 constituencies), got Conservatives with some support from DUP
2019 - Mainly SNP (increased to 48 constituencies, including the unseating of the Lib Dem leader at the time Jo Swinson. Her lips moved with every single word she spoke which explains how Swinson lost her seat), got Conservatives
No matter what the voting pattern of Scotland is at General Elections, since 1979, Scotland has not had the government it has voted for. Although I do understand the reasons how Scottish nationalism has become fashionable nowadays, I do not support the SNP's version of independence. I would like to see the whole of Great Britain (assuming Northern Ireland is returned back to the Irish) having progressive federalism, but this topic would be better in a new thread in the General Discussion section rather than here.
*My former MP in Glasgow Springburn/Glasgow North East was Michael Martin who sold out and embraced Blair's New Labour project until 2001 when he became Speaker. He was forced to resign when he directly became a subject of MP expenses row. Also, Martin really loved Springburn so much that he did not reside there, but in Bishopbriggs which was in a different county (Dunbartonshire, with Glasgow being in Lanarkshire), and a different Constituency Labour Party (Strathkelvin rather than Maryhill and Springburn).