As noted above, D-76 contains 100 g/l of sodium sulfite. But D-76 is a classic fine grain developer where the high sulfite content is used as a solvent. D-76 also exhibits considerable physical development, where the dissolved silver is replated onto the developed silver. This use of high sulfite concentrations makes an outstanding fine grain developer with excellent sharpness, but it is not an acutance developer with enhanced edge effects. It was noted above that T-grain films are supposed to be intolerant of high sulfite levels, but when diluted 1+1 D-76 does an excellent job with T-Max films. 50 g/l is still a pretty high sulfite concentration.
Acutance developers generally rely on local restraint, local exhaustion, and low silver solvency to do their thing. To achieve this, they are usually used at high dilutions and with modest agitation. At high dilution, the halide released during development from the silver salts in the emulsion can act as a local restrainer. Similarly, the developer becomes locally exhausted. These factors result in a compensating effect and a local reduction in contrast. The lack of a silver solvent means that silver is not removed from dark areas, such as the enhanced lines at dark edges. From what I have read, the edge effects are more a characteristic of the emulsion than of the developer (not all emulsions exhibit them), but the developer can suppress them to a large extent. Acutance developers are formulated not to suppress them.
Indeed, sulfite has many effects in developers: it inhibits aerial oxidation; it prevents staining by the oxidation products of phenolic (e.g. hydroquinone or pyro) developing agents; its concentration has an effect on the tanning of gelatin emulsions by phenolic developers; it affects the activity of the developer; it helps in the regeneration of some developing agents; in some cases and with some developing agents it can increase emulsion speed; and in high concentrations it acts as a silver solvent and helps promote solution physical development. I have seen the effect of sulfite on grain structure - it seems to promote filamentary growth, but things like sodium chloride can inhibit that. The effects seem to be quite complex, and there appears to be a lot of alchemy involved in the selection of sulfite concentrations for various developers. I suspect the effects can be quite different with different emulsions. When making a new developer, controlled experiments are obviously needed.