and the Condorcet method can completely fail to select a winner.

That one’s not a flaw. All elections can suffer from ties. Pure Condorcet just makes it obvious when there’s a tie (and this is very rare). There are a bunch of Condorcet completion methods for resolving the tie.

Have you tried https://star.vote? It’s a better voting system https://www.equal.vote/star_vs_rcv

Down voting and abstaining have been studied (and used), too:

• https://en.wikipedia.org/wiki/Combined_approval_voting
• https://electowiki.org/wiki/Explicit_approval_voting

Approval Voting (AKA Freedom Voting)

haha that might be the dumbest rebrand I’ve ever heard. Hope it succeeds, though!