Yes, it is true that changing magnetic field induces electric current. But something being true does not necessarily make it a huge factor. For example, does light from your computer screen heats up your eye retina because of photon absorbtion? Answer is: yes it does. But your eyes does not start boiling and burning, because in this case the heating is absolutely negligible, not even worth talking.
It is true, that a precision circuit might be disturbed by changes in magnetic flux. Special PCB layout techniques or magnetic shielding (like mu metal) might be needed. Likely not in this case. Interference is very small.