So, maybe I'm being either pedantic or overly hung up on terminology here, but doubles do not "mix" through the manifold. If the two cylinders in a twinset have somehow ended up with different mixes, they will stay that way and will not "mix" through the manifold even if the isolator is left open and even if a substantial amount of time has gone by.
Instead, what is going on here, is that bleeding from either post with the isolator open draws gas in equal amounts from each cylinder in the twinset. Filling using either post with the isolator open fills gas in equal amounts to each cylinder in the twinset. Proper blending depends on this, which is why it is vital to leave the isolator open during these operations. Done this way, each cylinder ends up with the same mix, because 1) each started with the same mix, 2) each had the same amount of gas bled, and 3) each had the same amount of gas filled.
When someone blends gases by adding gas to one cylinder in a twinset with the isolator closed, out of ignorance or carelessness, the cylinders will end up with different blends. The only three practical ways to clean up the mess are 1) to drain the twinset and start over, 2) to close the isolator, analyze each side, and bleed/fill the two cylinders individually as required to reach the target mix, or 3) to use a booster to force blending to take place.