The Reclassify Tool in ArcGIS Pro is limited compared to ArcMap. First, there is only one automatic method (Equal Interval). You can get a couple other techniques using the "Slice" tool. Secondly, you don't see the histogram of the raster data. This is powerful information! The two best courses of action right now are: 1) Use ArcMap for this process (you get to see the histogram to make an informed decision) 2) Follow the below procedure provided by the Dev team: Add your image to the map Symbolize it with your desired classification method Open the reclassify tool Add image to tool and it will take the values from the renderer Please improve the tool to function more like the one in ArcMap.
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