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The problem is in image 4. The favorite projection you are applying is set to 'keep metrics'. This means that applying it will change everything except metrics = scales / shifts / units. You could change the favorite to 'override metrics'. But in this particular case overriding metrics is not a good idea, because you need to change just units, while keeping scales (0.25) and shifts (1308000, 261000) unchanged. The solution is to manually edit metrics and change units to US Survey Foot (btw, I note that you are changing units to Foot, that might be slightly wrong). If you find yourself frequently needing to change units from meters to US Survey feet, this could be done using a query or a script. The code needs to read the original coordinate system from the metadata, adjust local offsets / local scales from old units to new, change the unit name, then print the new coordinate system and write it to the metadata.
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