Some metals are more reactive to sulfuric acid and will displace hydrogen from the acid as gas (metals above hydrogen in the reactivity series of metals), also high current can gas hydrogen from the electrolyte (or if water in solution hydrogen from the water splitting water creating hydroxides, (or oxygen gases depending on current), hydroxides and hydrogen gassing off, would lower solution acidity, also creating more base metal sulfates in solution.
If solution became loaded with base metals the resistance of cell may change to create more current and heating of the cell, gold soluble as a persulfate ion, but as these gold ions move from anode become diluted in the sulfuric acid no longer gold persulfate, the gold falls from solution, as gold is insoluble in sulfuric acid, so gold itself would not add that much to conductivity to the cells electrolyte like base metals can, these base metal ions can stay in acid solution loading the cell with conductive metal ions (of course some of the base metals will be reduced at cathode and fall into a sulfate sludge at bottom of cell other base metals would not plate out, and lower cells resistance to current.
The cells electrolyte water content is very important to help keep base metals from dissolving in solution, concentrated sulfuric acid can suck a lot of water from the air, especially cold air that holds a lot of water.
So even if we started with very concentrated acid we could be diluting our acids by the conditions we are using the cell.
Gold would still be there with base metals powders