I've never looked at this demo nor this data, and I'm no expert on retinotopy, so I'm hoping we can figure some of this out together. I don't see the same image that you show. The retinotopy results include both phase and power columns for the surface data. If I show phase and threshold by the power, I get something fairly close to the second image. (See attached) Except for the occipital pole, the phase generally decreases in the demo data as it moves anteriorly within the posterior cortex. The settings used here for the display set the Sym off, min=0, max=360, and I've used the same color scale. To get this to run properly, I had to do this :

@AfniEnv -get AFNI_1D_ZERO_TEXT
@RetinoProc -install_demo
(if there are problems, then cd AfniRetinoDemo ; tcsh -x ./@Proc.All )

Start Demo display with :
cd RetProcOut.All
tcsh @ShowResult

The @Proc.All script calls @RetinoProc this way:

@RetinoProc \
-sid Hildebrand \
-surf_vol SUMA/Hildebrand_SurfVol+orig.HEAD \
-spec_left SUMA/Hildebrand_lh.spec \
-spec_right SUMA/Hildebrand_rh.spec \
-anat_vol afni/Hildebrand_3_1.nii \
-TR 2 \
-period_ecc 32 \
-period_pol 32 \
-nrings 1 \
-nwedges 2 \
-fwhm_ecc 8 \
-fwhm_pol 8 \
-pre_ecc 16 \
-pre_pol 16 \
-ccw afni/Hildebrand_4_1.nii \
afni/Hildebrand_8_1.nii \
afni/Hildebrand_12_1.nii \
-clw afni/Hildebrand_5_1.nii \
afni/Hildebrand_9_1.nii \
afni/Hildebrand_13_1.nii \
-exp afni/Hildebrand_6_1.nii \
afni/Hildebrand_10_1.nii \
afni/Hildebrand_14_1.nii \
-con afni/Hildebrand_7_1.nii \
afni/Hildebrand_11_1.nii \
afni/Hildebrand_15_1.nii \
-out_dir RetProcOut.All \
-no_tshift