i'm using imagemagick compiled from source, so in reality the command line I use is something like
$ ImageMagick-6.9.1-0/utilities/convert infile.tiff outfile.tiff
(I have tried the version of convert that comes with ubuntu 14.04 as well (ImageMagick 6.7.7-10 2014-03-06 Q16), with exactly the same result)
Putting the define after the input file:
$ ImageMagick-6.9.1-0/utilities/convert example.tiff -define tiff:endian=msb -define tiff:fill-order=msb out-msb-msb.tiff
$ ImageMagick-6.9.1-0/utilities/convert example.tiff -define tiff:endian=lsb -define tiff:fill-order=lsb out-lsb-lsb.tiff
$ ImageMagick-6.9.1-0/utilities/convert example.tiff -define tiff:endian=lsb -define tiff:fill-order=msb out-lsb-msb.tiff
$ ImageMagick-6.9.1-0/utilities/convert example.tiff -define tiff:endian=msb -define tiff:fill-order=lsb out-msb-lsb.tiff
Same result.
TIFF version:
$ ImageMagick-6.9.1-0/utilities/convert -list format | grep -i tiff
EPT rw- Encapsulated PostScript with TIFF preview
EPT2 rw- Encapsulated PostScript Level II with TIFF preview
EPT3 rw+ Encapsulated PostScript Level III with TIFF preview
PTIF* rw+ Pyramid encoded TIFF
TIFF* rw+ Tagged Image File Format (LIBTIFF, Version 4.0.3)
TIFF64* rw- Tagged Image File Format (64-bit) (LIBTIFF, Version 4.0.3)
Btw, the result I expect is to get an image thats identical to the input image, ie mostly white. Like this:

.
Im trying to batch rotate around 500 tiff files and everyone I've tried so far gets distorted.

They are all produced by Mac OSX Image Capture.