If the 18 Brumaire coup doesn't happen, or if it does but Napoleon dies before making himself emperor, do you think France would keep going through these cycles of various factions toppling one another every few years until one strongman finally took the power in his own hands, or could the French state stabilise under a republican government, meaning one where power is peacefully obtained (and relinquished) through an election (it doesn't have to be democratic or especially liberal, though)?