There is a range of possibilities of what might cause a wavefunction collapse, and the constructed strawman is nowhere near that. It would be like if we claimed the speed of light was 3.2e8 +/- 5e7 m/s and someone decided our whole theory was bunk because the speed of light is obviously faster than 100 m/s. Well yeah, it is, but there's no contradiction here.

"if the particle interacts with something in such a way that its position suddenly becomes deducible, then it collapses" would be a theory in the range of possibilities. It would be much more convincing to argue against something like that.