A hell of a lot less pressure is disdipated as there is no more woman as escuse, if you add an Austrian archduchess as his wife than my friend, the third empire would happen! Of course, the Golden Law and the progressist agenda must have existed!
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Brazilian Monarchy would be much more secure than it was IRL, and Pedro could likely retire in his old age with succession safe. Also Brazil would probably continue on its path of modernization slowly but surely without the chaos of the Brazilian Republics.
Pedro II having son who lives to adulthood would make the emperor care more about future of Brazilian monarchy. Brazil probably would evelope further and with some luck Brazil in 2021 might be more prosperous than in OTL.