A recent perspective paper by Kazanina & Tavano (referred to as the KT perspective in the following) argues how neural oscillations cannot provide a potential neural correlate for syntactic structure building. The view that neural oscillations can provide a potential neural correlate for syntactic structure building is largely attributed to a study by Ding, Melloni, Zhang, Tian, and Poeppel in 2016 (referred to as the DMZTP study). The KT perspective is thought provoking, but has severe misinterpretations about the arguments in DMZTP and other studies, and contains contradictory conclusions in different parts of the perspective, making it impossible to understand the position of the authors. In the following, I summarize a few misinterpretations and inconsistent arguments in the KT perspective, and put forward a few suggestions for future studies.