There is no difference in the files as far as I know. The two versions below look the same as far as the basics go.
Here is the GDAL info output from the original:
Driver: GTiff/GeoTIFF
Files: IndianForkRehab20191025-DEM.tif
Size is 12669, 10914
Coordinate System is:
GEOGCS["WGS 84",
DATUM["WGS_1984",
SPHEROID["WGS 84",6378137,298.257223563,
AUTHORITY["EPSG","7030"]],
AUTHORITY["EPSG","6326"]],
PRIMEM["Greenwich",0],
UNIT["degree",0.0174532925199433],
AUTHORITY["EPSG","4326"]]
Origin = (-111.661862452798744,43.436085956945128)
Pixel Size = (0.000001655032299,-0.000001206174961)
Metadata:
AREA_OR_POINT=Area
Image Structure Metadata:
COMPRESSION=LZW
INTERLEAVE=BAND
Corner Coordinates:
Upper Left (-111.6618625, 43.4360860) (111d39'42.70"W, 43d26' 9.91"N)
Lower Left (-111.6618625, 43.4229218) (111d39'42.70"W, 43d25'22.52"N)
Upper Right (-111.6408948, 43.4360860) (111d38'27.22"W, 43d26' 9.91"N)
Lower Right (-111.6408948, 43.4229218) (111d38'27.22"W, 43d25'22.52"N)
Center (-111.6513787, 43.4295039) (111d39' 4.96"W, 43d25'46.21"N)
Band 1 Block=12669x1 Type=Float32, ColorInterp=Gray
NoData Value=-32767
Here it is for the remapped version:
Driver: GTiff/GeoTIFF
Files: IndianForkRehab20191025-DEM (1).tif
Size is 12664, 10914
Coordinate System is:
GEOGCS["WGS 84",
DATUM["WGS_1984",
SPHEROID["WGS 84",6378137,298.257223563,
AUTHORITY["EPSG","7030"]],
AUTHORITY["EPSG","6326"]],
PRIMEM["Greenwich",0],
UNIT["degree",0.0174532925199433],
AUTHORITY["EPSG","4326"]]
Origin = (-111.662974059173891,43.436028916878968)
Pixel Size = (0.000001853651661,-0.000001206405164)
Metadata:
AREA_OR_POINT=Area
Image Structure Metadata:
COMPRESSION=LZW
INTERLEAVE=BAND
Corner Coordinates:
Upper Left (-111.6629741, 43.4360289) (111d39'46.71"W, 43d26' 9.70"N)
Lower Left (-111.6629741, 43.4228622) (111d39'46.71"W, 43d25'22.30"N)
Upper Right (-111.6394994, 43.4360289) (111d38'22.20"W, 43d26' 9.70"N)
Lower Right (-111.6394994, 43.4228622) (111d38'22.20"W, 43d25'22.30"N)
Center (-111.6512367, 43.4294456) (111d39' 4.45"W, 43d25'46.00"N)
Band 1 Block=12664x1 Type=Float32, ColorInterp=Gray
NoData Value=-32767