Using max as resampling method with gdal_translate?

What is the difference between gdal_translate and Gdalwarp?

Fundamental difference is that gdalwarp can reproject rasters between different coordinate reference systems but gdal_translate can’t. With gdal_translate it is more straight forward to translate data between the supported raster formats gdal.org/drivers/raster/index.html.
 

What does gdal_translate do?

The gdal_translate utility can be used to convert raster data between different formats, potentially performing some operations like subsettings, resampling, and rescaling pixels in the process.

What is the output size of gdal_translate?

The output of gdal_translate is 5 cm as well, but the gdalwarp leads to a resolution of 4.999.