More over, a way this can actually play is that there's a third candidate Z who has policies many people strongly agree with, but, since they aren't a member of the big parties and don't attract mainstream news focus, few believe they'll win. Under RCV and several other systems, many R
and D voters will put Z first, because it can't hurt. They expect Z will be eliminated, since they "know" R or D must win, and their R or D second choice is what they expect to matter but at least they made their preference clear.
And then Z wins with 55% of the vote. Even though this is a surprise to Z's voters, it's a pleasant surprise. They wanted Z they just didn't expect it to be possible.
Under FPTP this can be made to happen, but you have to persuade people Z can actually win, because they're worried they are "throwing away" their vote until it really happens. Consider Brighton Pavilion in the UK. In 2005, Brighton was held by a Labour Co-Op incumbent, and the Green candidate came a close third. The Greens had to really sell the message that when Lucas stood in 2010 they genuinely had a chance to elect her, if only people who supported Green policies looked past the Red/Blue split and gave Caroline their vote.
They made it happen, but it was close, turnout was up considerably, and much of that new turnout voted for Lucas. If you voted for Lucas despite vague Tory leanings, and she hadn't won, you've have been devastated because right behind her was the new Labour candidate whereas even a modest fraction of Lucas' votes going to the Tory would have won them the election.
Once she'd shown it was possible Caroline Lucas never looked back, and she now routinely secures a clear majority in elections not the mere plurality required to win.
But this has been hard for her party to replicate elsewhere, and while Lucas is an especially personable candidate that can't explain the entire phenomenon. There are likely other constituencies in the UK where Greens could secure a majority if the voters believed the Green candidate has a chance and didn't vote their second or third choice to prevent their least preferred from winning.
I'm actually not bullish for RCV, but this sort of problem is exactly why it makes sense.