While some places, like the early United States, as well as thinkers like Montesquieu and Rousseau, did actively seek to emulate parts of both Greek democracy and the Roman republic, it can't really be argued that Geneva, Ragusa, Novgorod, or the Low Countries did anything more than be more adaptive to socio-economic dynamics than the entrenched monarchies of Europe.
Actually, the Dutch Republic actively sought a monarch to rule, but nothing came of it. When Holland finally did become a monarchy socio-economics also payed little part compared to European balance-of-power politics, creating the Kingdom of the Netherlands as a buffer against future French expansion. (Always prepare for the last war...)