Originally, posted this question last year, but for to post an update and the community bot deleted it due to inactivity.

Update: Found a Python 2 script on the Stack Exchange, and converted it into a python 3 script. Brought in the parent and child versions into a project as separate database connections, so I could have two different paths for the parent and child version.

    import arcpy
    import os

inputDataset = r"C:\Users\vazquel\OneDrive\Documents\LocalWorkspace\Parent.gdb\ParentVersion"
targetDataset = r"C:\Users\vazquel\OneDrive\Documents\LocalWorkspace\Child.gdb\ChildVersion"

outputFolder = r"C:\Users\vazquel\Desktop\LocalWorkspace\ComparisonReports"
outputName = "Comparison_Report_1"

inputDict = {}
changes = []

#GET FIELDS


arcpy.AddMessage("Getting Fields\n")
fields = ["OID@", "Shape@JSON"]
fieldList = arcpy.ListFields(targetDataset)
for field in fieldList:
    if field.name not in ("OBJECTID", "SHAPE", "Shape_Length", "Shape_Area", "RuleID", "Override"):
        fields.append(field.name)

#SEARCH INPUT DATASET, ADD DATA TO DICTIONARY


arcpy.AddMessage("Searching Input Dataset\n")
with arcpy.da.SearchCursor(inputDataset, fields) as inputRows:
    for inputRow in inputRows:
        oid = inputRow[0]
        geom = inputRow[1]
        attrs = {"Geometry":geom}
        for i in range(len(fields)):
            if i > 1:
                field = str(fields[i])
                attrs[field] = inputRow[i]
        inputDict[oid] = attrs

#SEARCH TARGET DATASET AND COMPARE TO DICTIONARY DATA


arcpy.AddMessage("Searching Target Dataset\n")
with arcpy.da.SearchCursor(targetDataset, fields) as targetRows:
    for targetRow in targetRows:
        # If no match in dictionary, it's a delete
        oid = targetRow[0]
        if oid not in inputDict.keys():
            changes.append([oid, "Delete", "N/A", "N/A", "N/A"])
        else:

            # If geometries don't match, it's a geometry update
            geom = targetRow[1]
            if geom != inputDict[oid]["Geometry"]:
                changes.append([oid, "Geometry Update", "N/A", "N/A", "N/A"])

            # If attribute values don't match, it's an attribute update
            for j in range(len(fields)):
                if j > 1:
                    field = str(fields[j])
                    value = targetRow[j]
                    if value != inputDict[oid][field]:
                        changes.append([oid, "Attribute Update", field, value, inputDict[oid][field]])

            # If there was a match, remove item from dictionary
            del inputDict[oid]

#Anything left in the dictionary is an added feature


for oid in inputDict.keys():
    changes.append([oid, "Add", "N/A", "N/A", "N/A"])
#Write Output Change File


arcpy.AddMessage("Writing Output File\n")
outputFile = open(outputFolder + os.sep + outputName + ".csv", "w")
outputFile.write("OID,CHANGETYPE,FIELD,INPUTVALUE,TARGETVALUE\n")
for change in changes:
    line = ""
    for item in change:
        line += str(item)
        line += ","
    line = line[:-1]
    line += "\n"
    outputFile.write(line)
    
arcpy.AddMessage("\n\nAll Done!\n\n")

outputFile.close()