Tbh I think actually it produces the opposite of stability. In the U.K. we get lurches from left to right every decade or so. In most places with PR that’s just not possible due to the necessity of coalition formation. Often these coalitions are in stalemate: the main criticism of PR is that it produces ineffective government. If anything, FPTP is too effective: it’s almost always fewer people voting for the government than not, yet they get absolute power.