In such a situation, most people would actually prefer to found a new monarchy or restore an abolished dynasty, or – in a broader sense – oppose democracy.
[1] According to professor of modern European history Jeffrey Herf of the University of Maryland, College Park, this is because nobody in interwar Germany from the political right, centre or left was really pleased with it: This lack of commitment to, and even opposition to, republican and democratic values in society, primarily coming from what is termed the 'conservative revolution', would largely pave the way for Adolf Hitler's Nazi Party to seize power in 1933, replacing the Weimar Republic with the Third Reich.
[2] A famous historical cartoon by Thomas Theodor Heine that strengthens the idea of a republicanless Weimar Republic appeared in the magazine Simplicissimus of 21 March 1927: Germans from different social classes are carrying the letters "REPUBLIK"; the adjoining caption reads: Sie tragen die Buchstaben der Firma – aber wer trägt den Geist?
In 1804, the German reactionary monarchist August von Kotzebue already called the Cisrhenian Republic (1797–1802) a Republik ohne Republikaner.
I find in France a Republic without Republicans, in Germany an Empire without an Emperor, and this is progress!