I find it difficult to understand how certain parts of a signal can be delayed more than others, as claimed. The entire signal sent to the subwoofer passes through the processor, which operates with a fixed clock speed and follows a predetermined DSP program with a specific number of instructions it needs to run before sending the processed signal downstream to the amplifier module. As a result, it cannot differentiate between different parts of the signal in terms of processing time.
They are against the type of DSP processors that are built into some subwoofers. In such instances, there is a risk that the signal get delayed to the subwoofers in comparison to the unprocessed signal that reaches the main speakers.