Raster resampling when Clipped - why? How to prevent?

[JasperRomero]

Same question as a previous post of mine - still no solution so trying again with more information and examples.

As part of a georeferencing workflow, I run the Clip Raster tool to remove non-image edge regions. However when I run the tool, the resulting image is resampled and has a different cell value histogram. I am less concerned about the histogram change - I will be color balancing in a mosaic dataset later on - but I want to understand why the cells appear to be resampled.

Input RasterOutput Raster

Both the size and shape of the cells in the image appear to change. When I check the cell size in the raster Properties, it states that the cells are the same size - but the Clipped image has a visibly coarser resolution that persists when the image is georeferenced and saved.

Juxtaposition of input (top) and output (bottom) along Clip boundary

I run the Clip Raster geoprocessing tool with a drawn polygon as the output extent, "Use Input Features for Clipping Geometry" checked, and the default values for No Data and Maintain Clipping Extent (256 and Unchecked, respectively). I have tried setting the Input Raster as the Snap Raster but this doesn't appear to help.

I am fairly sure that this behavior did not always occur, as I documented the workflow in the spring and specifically used the steps and order that I did to avoid visible resampling of the input.

Does anyone know why this is happening, and how I can prevent it? It is very frustrating. Thanks in advance for any assistance!

Editing to add - Pro version 3.4.3

[CalvinHarmin]

Sorry if this is a dumb question since you seem to know what you're doing - but are you certain both layers have STRETCH settings turned off? I think Pro tends to default to applying stretch settings to new rasters added to the map - although this default is something you can change if I'm not mistaken. 

If you use the navigation / query / pop-up info tool to poke a cell and see its value - are the cell values ACTUALLY different between the input and output rasters when you inspect a specific cell? 

'Snap raster' option being set to the source raster should be used as part of your process if you want to ensure the cells don't get resampled or offset from original - but that's just one aspect and not the whole answer.