I think the proposed method could still work though. A substantial fraction of the pseudorandomness may be consistent on the individual person level.
The type of pseudorandomness you describe here ought to be independent at the level of individual items, so it ought to be part of the least-reliable variance component (not part of the general trait measured and not stable over time). It’s possible to use statistics to estimate how big an effect it has on the scores, and it’s possible to drive it arbitrarily far down in effect simply by making the test longer.
I think the proposed method could still work though. A substantial fraction of the pseudorandomness may be consistent on the individual person level.
The type of pseudorandomness you describe here ought to be independent at the level of individual items, so it ought to be part of the least-reliable variance component (not part of the general trait measured and not stable over time). It’s possible to use statistics to estimate how big an effect it has on the scores, and it’s possible to drive it arbitrarily far down in effect simply by making the test longer.