Added test that shows the issue

tests/ImageSharp.Tests/Formats/Bmp/BmpEncoderTests.cs

@@ -370,6 +370,30 @@ public class BmpEncoderTests
         TestBmpEncoderCore(provider, bitsPerPixel);
     }
 
+    [Theory]
+    [WithFile(BlackWhitePalletDataMatrix, PixelTypes.Rgb24, BmpBitsPerPixel.Pixel1)]
+    public void Encode_Issue2467<TPixel>(TestImageProvider<TPixel> provider, BmpBitsPerPixel bitsPerPixel)
+        where TPixel : unmanaged, IPixel<TPixel>
+    {
+        using Image<TPixel> image = provider.GetImage();
+
+        using var reencodedStream = new MemoryStream();
+        var encoder = new BmpEncoder
+        {
+            BitsPerPixel = bitsPerPixel,
+            SupportTransparency = false,
+            Quantizer = KnownQuantizers.Octree
+        };
+        image.SaveAsBmp(reencodedStream, encoder);
+        reencodedStream.Seek(0, SeekOrigin.Begin);
+
+        using Image<TPixel> reencodedImage = Image.Load<TPixel>(reencodedStream);
+
+        reencodedImage.DebugSave(provider);
+
+        reencodedImage.CompareToOriginal(provider);
+    }
+
     private static void TestBmpEncoderCore<TPixel>(
         TestImageProvider<TPixel> provider,
         BmpBitsPerPixel bitsPerPixel,

tests/ImageSharp.Tests/TestImages.cs

@@ -407,6 +407,8 @@ public static class TestImages
         public const string Rgba321010102 = "Bmp/rgba32-1010102.bmp";
         public const string RgbaAlphaBitfields = "Bmp/rgba32abf.bmp";
 
+        public const string BlackWhitePalletDataMatrix = "Bmp/bit1datamatrix.bmp";
+
         public static readonly string[] BitFields =
         {
               Rgb32bfdef,

tests/Images/Input/Bmp/bit1datamatrix.bmp

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b2288e2a059b15c7855eb141c05e3ce69431e7c3ddef851033f7fd9ca39a2d4
+size 102