  The topological Hall effect (THE) originates from the real-space Berry phase
that an electron gains when its spin follows the spatially varying non-trivial
magnetization textures, such as skyrmions. Such topologically protected
magnetization textures can provide great potential for information storage and
processing. Since directly imaging the skyrmions or detecting the magnetic
diffraction of skyrmion lattice are significantly more challenging than
conducting Hall measurements, THE has been widely used to attest the presence
of skyrmions. However, the key feature of THE, namely the bump/dip in the Hall
signal is not sufficient proof of THE. Here, we use empirical numerical
modeling to demonstrate all possible THE-like signals that two anomalous Hall
effect (AHE) signals with opposite signs can superpose. Besides the
reproduction of many published results by the numerical model, we propose an
exotic {\lq THE\rq} could, in principle, emerge with finely tuned two-channel
AHE. The importance of the scrupulous re-examination of the THE observed in
experiments cannot be exaggerated.
