My first solution was RNG(hash(seed.toString() + string)), which would get rid of the correlation while still being deterministic based on the seed.
replyIt's also more robust than calling RNG 10 times since if you use the same algorithm to seed as for the RNG proper then you will get the same sequences in each instance, just offset.
That's assuming the game initialization order is deterministic. Using the hash of the combined state of seed and string avoids that assumption without giving up determinism.
replyYeah true. That's even better.
replyPoint being, the current problematic state of the game is trivially fixable in multiple ways that require half a second's thought (once being aware of the problem).