Quote by qsa
I understand you that you claim that the wavefunction and its derived probability is not real in standard QM interpretation, it is just a mashinery to interpret experiments. But, in QFT and QM any time we want to calculate something (like energy) we take the whole wavefunction into account which to me it says that all aspects of wavefunction (at least the probabilities) is real and it exists at the same time.

In the standard interpretation probabilities are not observables, but propensities for observing something.
This makes the standard ontology quite weird.
In the thermal interpretation (as in real life), many expectations are measurable (to some limited degree of accuracy), and so are many probabilities (as expectations of projectors). Thus these are real in the thermal interpretation, making things much more intelligible.