This is a really useful thought-provoking post however, I'm not convinced its nesessarily
the system being determined by 'the future'. More like; there is
additional information (previously unobserved) produced by the system, which:
- updates the conscious agent's own decisions about to
how extract further useful information from the system under study;
- updates the agent's own expectations of what to expect and;
- feeds into the agent's desires to draw inferences about other examinable system behaviours.
Notice that
'the future of the system' is thus actually deduced from information produced by its own past behaviours, (eg: via probabilities).
I'd agree that its a conscious agent also making the deductions based on the outcomes there, as well as making prior decisions about how to set up the experiment in order to produce consistently meaningful results, so there's still those two major active roles being played by the agent.
'The future' is key to your thoughts there. What
'the future is', depends on your own past knowledge and your personal experiences in aquiring that knowledge.
The influence there, surely comes about by the way the conscious agent realises
'what the future will be', as I don't think been excluded in your analysis .. yet(?)
Its a useful contribution though .. certainly made me think about it.