Hello,
As suggested by STARGEEK, I have used Irfanview with the option "JPG Lossless Rotation" / "Auto rotate (according to Exif Orientation, if available)".
Everything is OK now. It seems than there is a compression because the file size changed. Not really important, I want to close this problem.
I'm not sure to have understand everything. I will have a look in the futur... perhaps.
Here is the code for the file rotated with Lossless option:
D:\Yvan\_SoftWare\Images\Exiftoolgui - portable>exiftool -a Original-irf.jpg
ExifTool Version Number : 12.09
File Name : Original.jpg
Directory : .
File Size : 6.2 MB
File Modification Date/Time : 2020:10:13 11:26:40+02:00
File Access Date/Time : 2020:11:01 19:47:44+01:00
File Creation Date/Time : 2020:11:01 19:47:32+01:00
File Permissions : rw-rw-rw-
File Type : JPEG
File Type Extension : jpg
MIME Type : image/jpeg
JFIF Version : 1.01
Resolution Unit : None
X Resolution : 1
Y Resolution : 1
Exif Byte Order : Little-endian (Intel, II)
Image Width : 3456
Image Height : 4624
Make : samsung
Camera Model Name : SM-A715F
Orientation : Horizontal (normal)
X Resolution : 72
Y Resolution : 72
Resolution Unit : inches
Software : A715FXXU3ATH8
Modify Date : 2020:10:13 10:26:40
Y Cb Cr Positioning : Centered
Exposure Time : 1/1122
F Number : 1.8
Exposure Program : Program AE
ISO : 32
Exif Version : 0220
Date/Time Original : 2020:10:13 10:26:40
Create Date : 2020:10:13 10:26:40
Shutter Speed Value : 1
Aperture Value : 1.8
Brightness Value : 20.04
Exposure Compensation : 0
Max Aperture Value : 1.8
Metering Mode : Center-weighted average
Flash : No Flash
Focal Length : 5.2 mm
Color Space : sRGB
Exif Image Width : 3456
Exif Image Height : 4624
Exposure Mode : Auto
White Balance : Auto
Digital Zoom Ratio : 1
Focal Length In 35mm Format : 24 mm
Scene Capture Type : Standard
Image Unique ID : A64QLMD01MM
Compression : JPEG (old-style)
Image Width : 3456
Thumbnail Length : 5858
Thumbnail Offset : 727
XMP Toolkit : Adobe XMP Core 5.1.0-jc003
Micro Video : 1
Micro Video Version : 1
Micro Video Offset : 4097910
Micro Video Presentation Timestamp Us: -1
Image Width : 3456
Image Height : 4624
Encoding Process : Baseline DCT, Huffman coding
Bits Per Sample : 8
Color Components : 3
Y Cb Cr Sub Sampling : YCbCr4:2:0 (2 2)
Aperture : 1.8
Image Size : 3456x4624
Megapixels : 16.0
Scale Factor To 35 mm Equivalent: 4.6
Shutter Speed : 1/1122
Thumbnail Image : (Binary data 5858 bytes, use -b option to extract)
Circle Of Confusion : 0.007 mm
Field Of View : 73.7 deg
Focal Length : 5.2 mm (35 mm equivalent: 24.0 mm)
Hyperfocal Distance : 2.32 m
Light Value : 13.5
Thank you very much.