My problem with our republicans is that they never seem to have thought things through properly. While I'd greatly prefer to have an elected ceremonial head of state, as they do in Germany and Ireland, I'm worried about that happens when politicians start trying to draft a new constitution and try to decide what should happen to all the
prerogative powers; that is, powers held by the monarch but exercised on the advice of his ministers. During Boris Johnson's somewhat chaotic attempts to force Brexit through without a deal, the courts were able to stymie Johnson's attempts to circumvent parliament by seeking a judicial review of the advice he was giving to the Queen to suspend parliament while he did what he wanted.
My big worry is that, when drafting a republican constitution, the executive would find it impossible to resist the temptation to give at least some of these powers to the prime minister rather than the president. And, if it didn't, we've have spent a great deal of time and political energy on changing the way the head of state is selected but keeping everything else the same, when not many people want to change the existing system.