RCV would allow ppl to pick 3rd party voters if they wanted to for first choice. As it is now, most ppl don't because they won't realistically win because they don't think enough other people will vote, and also as their vote will be 'wasted'.

With RCV essentially leading to more first rank votes to 3rd parties, they do increase the chance for victory, but mainly it will be a better way to see the opinions of the public imo.