I actually think we would have got Brexit faster. Cameron decided on the referendum because the Conservatives were losing voters to UKIP. With proportional representation voters would have turned into seats much more effectively. UKIP for 13% of the vote in 2015 - with proportional representationism they would have been the third biggest party.
Remember this was at pretty much the peak of support for the EU among MPs and the big parties - that is why Cameron thought he would win the referendum.
Labour had become firmly pro-EU, except for a few old socialists like Dennis Skinner. The Conservative euro-sceptics were still a small group. The SNP was doing very well. The SNP alone would have had about 25 fewer seats under PR and that alone have wiped out about half the gain the Lib Dems would have had.
Barely, their leader at the time had been criticising the EU for a long time and I'm still not convinced he voted remain.