No, under most interpretations of QM, things literally behave differently at that scale. Under Copenhagen, the wave literally collapses into a fixed position/momentum. The pre measurement wave isn't a statement of our ignorance of the system but rather a description of reality. The many worlds is even more serious in its quantum literalism. Far from pushing around the subject of your experiment with a too-big measuring device, you're actually branching worlds where all predictions of the wave function occur.
To me, many worlds + time (as an inviolate observed vector) being merely a consequence of our inability to observe without moving foreward in time based on our entropic process driven cociousness, seems by far the most comprehensive explanation of observable phenomenon.
That observational uncertainty increases as the probability of direct interaction decreases (distance, time) strongly supports the hypothesis that observable phenomena are dictated strongly by the presentation and characteristic relationship of the observer to the phenomenon.
We know on the micro scale that all possible states exist simultaneously.
It seems logical, even axiomatic then that on the macro scale the same applies, but that we can only observe the bandwidth of states in which it is possible for us to exist to make the observation.
To claim that this state uncertainty is magically resolved in all cases and coherently for all possible observers into a single set of states seems an extraordinary claim requiring extraordinary evidence.
> The pre measurement wave isn't a statement of our ignorance of the system but rather a description of reality.
Post measurement particle is description of our ignorance not a description of reality.
It still evolves according to Schrödinger equation (which degrades to newtonian dynamics for sharp and narrow waves) but for historical reasons we choose to talk about it as it was little billiard ball, not still a wave just sharpened and narrowed down by intraction we call measurement.
The problem is that fundamentally, there is a fixed amount of information that there is, that has to be distributed over two dimensions. Particles that are constrained to a small area (e.g. photons going through a slit, electrons bound to an atom) simply do not have a well-defined momentum. In fact the effect is something that you can experience with a sharp enough camera lens: as you close the aperture (therefore forcing the light going through it to be in a specific place) you slowly lose resolving power as the light stops behaving nicely and diffracts around/through the aperture.
