Without getting into a definition of "representation" for now, I've always had the feeling that it's better to have a more diverse parliament that represents the electorate in a more proportional way than one that represents the electorate in the best way for a single candidate and then multiplying that by the number of candidates, if you see what I mean.
If you have single-winner constituencies and the single most representative candidate gets elected in each one, you could potentially end up with a lot of near-clones, and in a sense it seems to make having a large parliament a bit pointless.
In fact, it probably wouldn't end up that way because of geographical differences in voting behaviour, but that brings me onto the next point, which I believe is similar to that raised by @Andy-Dienes in the thread that this is an off-shoot from. You can get very different parliaments with exactly the same voting behaviour purely depending on the geographical distribution of the voters. You could end up with a bunch of near clones if there isn't much geographical difference in voter behaviour, or you could end up with something close to PR if you get geographical clusters of voters, or more likely something in between.
But since representatives make up the national parliament rather than simply act as an isolated representative for a group of people, I don't think such potential variation based on the same ballots is good voting method behaviour.
I think a method that gives similar results regardless of how one jumbles up the voters across the country is (all others things being equal) better than one that is very dependent on the geographical distribution of voters.
As Andy says, why split along geographical lines - why not let the voters just vote for what they want and the splits will come from that?
And as I said in the first paragraph, I think more diversity in parliament is good - and as for what diversity is, it's the diversity people vote for, not the predetermined things that people might have in mind like race, sex, age etc.
The "average" position in parliament is still going to be similar to what you'd have with Condorcet winners, but I think you'd get a wider range of issues considered and debated. It's not simply that you'd get "extreme" views and these would get voted down anyway. You'd get people raising people's consciousness on issues that might not otherwise be considered - issues that aren't based on "extreme" politics, but that people simply aren't very aware of and would be happy to support if they were.
And I'm not sure I would want too much like-mindedness in a parliament anyway. And I think you'd be more likely to get conforming behaviour where people go along with what they perceive to be the group view and don't question something until it becomes too late.
I think it's different for companies with their "benevolent dictator". Some companies succeed and some fail under a dictator, but a country is far too important to have the possibility of failing and you can't trust it to a dictatorship, even if in some cases it might work out.