Potassium hydroxide (KOH) is generally considered a better electrolyte than sodium hydroxide (NaOH) for hydrogen generation in electrolysis, though the difference may not be huge in all contexts. Here’s why:

1. Ion Conductivity: Potassium hydroxide (KOH) has better ionic conductivity than sodium hydroxide (NaOH). This is due to potassium ions (K⁺) being larger and more mobile than sodium ions (Na⁺), which makes KOH more efficient at carrying charge during electrolysis. Higher conductivity reduces the resistance of the electrolyte and improves the overall efficiency of the electrolysis process.
2. Electrode Performance: In electrolysis, the electrode reactions are crucial. Potassium hydroxide is less likely to form insoluble salts or precipitates, which could interfere with the electrolysis process. Sodium hydroxide can sometimes form sodium carbonate (Na₂CO₃) when exposed to carbon dioxide, which could deposit on the electrodes, negatively impacting performance. This issue is less significant with potassium hydroxide.
3. Overpotentials: Overpotential refers to the extra energy required to drive a reaction at an electrode. For the hydrogen evolution reaction (HER) in alkaline solutions, potassium hydroxide tends to result in slightly lower overpotentials compared to sodium hydroxide, leading to more efficient hydrogen production.
4. Corrosion Resistance: Potassium hydroxide is generally considered to have less corrosive effect on some materials used in electrolysis systems compared to sodium hydroxide. This can help extend the lifespan of electrodes and other system components.

That being said, sodium hydroxide is still commonly used in many industrial electrolysis applications due to its lower cost and good performance. In terms of pure performance for hydrogen generation, however, potassium hydroxide has the edge.