What Q level of IM are you using? I would think that if you have 32-bit TIFFs that you would need Q32 or HDRI IM compile (depending upon whether your files have negative values) to make a fair comparison.
Both your tiff files have supposedly fully transparent alpha channels per the verbose info but are not visually transparent. So this might be an IM bug. But when the alpha channels are removed, the files are quite different looking (not very smooth, but with stripes in both dimensions).
Also the range of values in your files have min of -infinity and max of very small values:
identify -verbose normal.tiff (run on Q16 HDRI)
...
Red:
min: -inf (-inf)
max: 2.48413e-32 (3.79054e-37)
mean: nan (nan)
standard deviation: nan (nan)
kurtosis: nan
skewness: nan
Green:
min: -inf (-inf)
max: 2.48413e-32 (3.79054e-37)
mean: nan (nan)
standard deviation: nan (nan)
kurtosis: nan
skewness: nan
Blue:
min: 0 (0)
max: 0 (0)
mean: 0 (0)
standard deviation: -0 (-0)
kurtosis: 0
skewness: 0
Alpha:
min: 0 (0)
max: 0 (0)
mean: 0 (0)
standard deviation: -0 (-0)
kurtosis: 0
skewness: 0
So I would think you need to be in IM Q32 HDRI to do any fair comparison. You may also need to invoke:
-depth 32 -define quantum:format=floating-point
see
http://www.imagemagick.org/Usage/formats/#tiff
But I am not really an expert on these issues. So perhaps one of the IM experts can comment further.