Given the higher gravity of Mars compared to the moon, a heavier suit is much more of a burden. Mechanical counter-pressure suits might win out.
Counter pressure?
Instead of using a layer of air, using the pressure of a tight fitting garment. Also known as a space activity suit.
Isn't that how Apollo suits worked anyway?
Eh, no. Basic difference is molecular versus, err, grosser scale. Think difference between a plastic bag and a net. Idea is, skin (or rather, circulatory system) is gas-tight enough, it just doesn't have the elastic strength to keep from being deformed from internal pressures. And you need those internal pressures to make cellular respiration, transpiration in the lungs, et al function properly.
A7L and modern equivalents applies counter-pressure from the outside (by being pressurized). Skin-tight isn't necessary; you can after all pressurize a spacecraft cabin. There is a similarity, though; the pressure bladder of the suit is flexible and would balloon if not constrained. So in a way the Apollo suit is, itself, wearing a space activity suit.