I hope the image is self-explanatory
What I understand is you seem to advise 100% saturation in all colors, and I can't agree with that
A Ramp would be using shades within a colour and shouldn't be done?
Critique about 'color ramps' in these parts usually means a palette made up of independent ramps wherein all colors share a single hue, and sometimes a single saturation.
If this is done without a compelling reason, it usually gives poor results.
By contrast, a good thoughtful palette has colors picked across the whole range of hues / saturations / brightnesses, chosen so that they 'work well together' in most combinations, as well as offering solutions for a specific piece pixeling challenges.
More about this
here.
The usually associated mistake is to use these ramps in specific and exclusive areas of the piece: the ramps are then truly independent, instead of an 'organic' palette where colors are 'recycled' throughout the piece to unite it.
Consider your
player 1's colors.
There are at least 5 independent ramps: hair, skin, eyebrows, eye pupils, mouth + blackened eye.
Most saturations are in the 20-27 range, except the hair blues and eye purple.
Additionally, 32 colors is a huge lot for this piece, considering that many are used in very few pixels (you can see where each color is used by hovering over the palette; you can also sort colors by hues and other criteria).
To get a better understanding of these issues, I'd recommend practicing palette challenges, here or at Pixeljoint. These will force you to find creative solutions and get rid of the color ramp mindset. The smaller and crazier the palette, the better!
Edit: also
check this thread.