There is any number of Greek terms that you can use alternatively to the Venetian and Genoese systems that will not get an instinctive bad reaction."Republic" is basically a slur in Rhomania. Genoa and especially Venice, two states who held the Romans down for centuries were Republics. Just like free trade is anathema to all good and proper Romans so to is any hint of republicanism above the local level. One of the past updates mentioned village/city councils but that's probably as far as Rhomania will go to have any true republicanism as we know it OTL.