Here's something else the "America is a republic, not a democracy" types should probably consider:
The Roman Republic (which is often held up as the epitome of what a republic is or should be) had elected tribunes. Tribunes had absolute veto power over legislation passed by the assemblies (the "legislative" branch of the Republic), as well as over the actions/policies of the consuls (the "executive" branch of the Republic). The office of tribune was established when Rome eliminated the kingship and went from being a kingdom to being a republic. The office of tribune in particular was established especially in order to prevent anyone in Rome from ever becoming a king again.
In contrast to Musk's quote ("If any judge anywhere can block every presidential order everywhere, we do not have democracy - we have tyranny of the judiciary."), any Roman tribune anywhere could block every assembly or consular order everywhere. Yet, Rome was a republic (with some democratic elements). So would Musk, et al. call the Roman Republic a "tyranny of the tribunes"?