Proportional representation specifically refers to how parties divide the available seats
I apologize for not addressing that, but I didn’t think it required expanding on. Yes, that’s correct. I feel the preferred proportional method is Sequential Proportional Approval Voting
RCV doesn’t eliminate vote splitting, it only mitigates it. If two candidates have similar support in a non-final round, one can act as a spoiler for the other. The problem is that it’s harder to understand and FairVote used to lie about it, so a lot of people think it’s not a problem. The Alaska special election from a few years back is an example of a spoiler election. If Palin hadn’t run (or fewer Palin voters voted) the other Republican would have won. If you want to completely eliminate vote splitting you have to move to a cardinal voting method that satisfies the independence of irrelevant alternatives criterion, which is most of them, including approval voting.