As you will recognize, this is quite a subjective answer on my part. It's a judgment call that's not based on any, as one would say, solid empirical evidence.
That said, it's almost self-evident that part of the cynicism of youth, and not just youth, about the electoral system has to be related to this. If you live in a certain constituency and you know it's always going to vote one way, even though 20% in that riding want to vote another way, and your vote's not going to count under first past the past, then this can be a major disincentive to even participate, and can build, at the most exaggerated levels, a degree of cynicism.
Why I'm strongly in favour of changing the system is to avoid this necessity of having to vote, in a way, to stop somebody else—in other words, to vote for your second choice because you think that your second choice can beat the third option you don't like. We should have a system that encourages young people, or not-so-young people, to vote for positive reasons. I think only some versions of PR do that.