Isn't contextuality a consequence of collapse as we move from a set of commuting observables to another set there is a change in state(from the state we started off with which let us say was an eigenstate of first set of commuting observables) because now I measured an observable from this set & then a Common observable among the two sets then I might get a new value which is different from the previous value we assigned(to this common observable) when we measured it in the first set??? or is there something I am seriously misinterpreting??

Isn't contextuality a consequence of collapse as we move from a set of commuting observables to another set there is a change in state(from the state we started off with which let us say was an eigenstate of first set of commuting observables) because now I measured an observable from this set & then a Common observable among the two sets then I might get a new value which is different from the previous value we assigned(to this common observable) when we measured it in the first set??? or is there something I am seriously misinterpreting??