Either approach, whether it recaptures the oxidizer or fuel rich preburner exhaust, is clearly an improvement over dumping everything overboard. But neither is an ideal solution as there’s still potentially combustible products being wasted. Are there? Here's a diagram of the RD-180, which uses an oxygen-rich preburner: https://en.wikipedia.org/wiki/RD-180#/media/File:Rd180schema... Where is anything escaping other t…
But full flow staged combustion lets you fully vaporize both propellants before they mix, leading to more optimal burning.