Conversion Issue between WGS84-4326 to NAD27-3069

[HaotianShi]

We encountered a conversion issue from WGS84-4326 to NAD27-3069 while doing a project.

We used two ways for projection based on the same longitude and latitude:
A: ESRI ArcMap Projection (using ArcGIS Project tool)
B: Proj4j javacode EPSG geoCode

However, there are some differences between the data (projected x and y of NAD27-3069) obtained by the two methods, which is not reasonable. The x coordinate difference of the same point is around 7-10 meters and the difference of y is about 1-2m, as shown in the table below.

LON |LAT | A.NAD27_X | B.NAD27_X | A.NAD27_Y | B. NAD27_Y
-88.5228 | 42.57655 | 621238.4835 | 621229.7628 | 214633.296 | 214635.8638
-92.2959 | 44.53028 | 317580.3702 | 317565.4482 | 433121.7068 | 433119.4047
-87.9028 | 42.7361 | 671687.3028 | 671680.2527 | 233424.7366 | 233427.5733
-88.5282 | 42.57733 | 620795.31 | 620786.5774 | 214712.7471 | 214715.3176
-88.6028 | 44.03688 | 611961.6631 | 611952.165 | 376702.9819 | 376701.8832
-88.4651 | 44.29296 | 622464.2818 | 622455.3098 | 405342.0929 | 405341.2876
-88.2424 | 44.30755 | 640197.7963 | 640188.9205 | 407318.7782 | 407318.1713
-90.7711 | 43.56154 | 437733.8693 | 437722.7151 | 323251.3754 | 323249.4127
-88.0876 | 43.00795 | 655871.2693 | 655863.4741 | 263254.573 | 263256.7669

How can we address this issue? Thank you!

Here is the java code of Method B:
package Projection;

import java.io.IOException;
import java.net.UnknownHostException;
import java.sql.*;
import java.util.ArrayList;
import java.util.Arrays;
import Projection.db.ConnectionBean;
import org.osgeo.proj4j.CRSFactory;
import org.osgeo.proj4j.CoordinateReferenceSystem;
import org.osgeo.proj4j.CoordinateTransform;
import org.osgeo.proj4j.CoordinateTransformFactory;
import org.osgeo.proj4j.ProjCoordinate;

public class Main {

public static void main(String[] args) throws SQLException, UnknownHostException, IOException {
CRSFactory csFactory = new CRSFactory();
CoordinateTransformFactory txFactory = new CoordinateTransformFactory();
CoordinateReferenceSystem from1 = csFactory.createFromName("EPSG:4326");
CoordinateReferenceSystem to1 = csFactory.createFromName("EPSG:3069");
//CoordinateReferenceSystem from2 = csFactory.createFromName("EPSG:4152");
//CoordinateReferenceSystem to2 = csFactory.createFromName("EPSG:3069");
CoordinateTransform tx1 = txFactory.createTransform(from1, to1);
//CoordinateTransform tx2 = txFactory.createTransform(from2, to2);
long startTime = System.nanoTime();
//connect to database
ConnectionBean con = new ConnectionBean();
PreparedStatement statement = null;
ResultSet resultSet = null;
try
{
String loadSql = "select XXX,LON,LAT,GIS_X,GIS_Y,NAD27_X, NAD27_Y "+
"from xxxxx";

	 statement = con.prepareStatement(loadSql);
     resultSet = statement.executeQuery();
    
  while (resultSet.next())
  {  
	// find empty NAD27 coords 
	if (resultSet.getDouble("NAD27_X") <1 || resultSet.getDouble("NAD27_Y") < 1) {
		
		if (resultSet.getDouble("lon") >0 || resultSet.getDouble("lat") > 0 ) {
			// projection from lonlat to nad27
		    double raw_lon = resultSet.getDouble("lon"); 
			double raw_lat = resultSet.getDouble("lat");
			double ACCDNMBR = resultSet.getDouble("ACCDNMBR");
			ProjCoordinate p1 = new ProjCoordinate(raw_lon, raw_lat);
			tx1.transform(p1, p1);
			//tx2.transform(p1, p1);
			double NAD27_x = p1.x;
			double NAD27_y = p1.y;
			//upadate nad27
			String loadSq2 = "update XXXX set NAD27_X ="+ NAD27_x + ", NAD27_Y = " + NAD27_y + " where XXX =" + XXX;
			statement = con.prepareStatement(loadSq2);
	        statement.executeQuery();
	        statement.close();
		}		
	 }			
   }
  con.commit();
  long endTime   = System.nanoTime();
  long totalTime = endTime - startTime;
  System.out.println(totalTime);
}

catch (SQLException e)
{ 
	System.out.println(e);
}  
finally {
    //System.out.print("finally");
	statement.close();
	con.close();

}

}
}

Thank you very much!

Timothy