Nowadays the complex kinetics and kinetic analysis of complex processes are of major concern for the field of thermal analysis of solid state reactions and phase-transformations. Number of methodologies suitable for the task were introduced and reviewed during the ICTAC 2017 conference in Orlando. However, most these methods and approaches assume the kinetics of the involved sub-processes to be independent from applied heating rate or temperature range. This condition is not always fulfilled - especially in case of the amorphous-to-crystalline transformation of the glassy matrices, where the stress- or mechanically induced defects tend to play a key role. The kinetic issue can be represented either by the change of intensity of certain sub-processes, or the kinetic mechanism can change for the given sub-process, or simply the activation energy of each sub-process can be a function of temperature or heating rate. In the present contribution several real-life examples (crystallization of the far-infrared GeTe4-GaTe3 glass; crystallization of the Y3Al5O12 glass microspheres and crystallization of amorphous selenium) will be shown to demonstrate the level of complexity occurring for certain cold crystallization processes. The current and possible future solutions of this problematic will be discussed.