Should I have more than one dishwashing soap?
Aluminum cleaners typically contain mild/organic acids and sometimes also contain abrasives, to help remove oxidation. The black color may very well be aluminum oxide which is a cleaning abrasive (a sensible choice for an aluminum pan cleaner). A paste is also sensible for aluminum pots because these pots require a rigorous scrubbing, compared with ceramic, teflon, and steel dishware.

However, most other cleaners are neutral or basic; and other common cleaning abrasives like silicon dioxide are white. Some cleaners contain oxidizers (like peroxides) and others contain reducing agents.

Dish detergent in the USA is generally made for removing/dissolving grease. We tend to use aluminum more for disposable aluminum-foil pans, and opt for stainless steel and/or other cookware materials, because other materials are simply better quality and require less scrubbing, and/or simply diswasher-safe (unlike aluminum which tends to become blackened by the oxidizing cleaners found in dishwasher soap).