Let me modify the question slightly.
At what price difference would you purchase a no-name item over an established Brand name? This is a sliding scale and could have notional breaks at say 20%, 40%, 60% and 80% discount.
Change the premise a bit, and introduce sound technical innovations with a no-name manufacturer, versus an established technology and brand. I personally am tempted when the price difference approaches 50%.
A complication is that the innovative little guy probably cannot afford to protect his intellectual property with patents and sooner or later a Brand will adopt his technological breakthrough.
Somebody had to buy the first SME tonearm. Somebody had to buy the first class-D amplifier.

