Thanks C.
Looks like the text spells out textually what all criminal law generally spells out, intent and/or liability.
As posted before, in this Quebec case, it requires evidence of terrorist intent which is not necessarily quick and easy to prove with only physical crime scene evidence, it requires looking into the suspect's background and past. Things like phone records, contacts, social media and the investigation generally seeks to find if there is a motive towards terrorism as defined in the codified text.
That is loosely why it is likely listed as murder charges at this moment in time. That is pretty much obvious at this point and may change to reflect a more severe penalty when and if the terrorism component is found and then ultimately proven.
The overall process and task of the investigation/charge would be no different in the example posted wrt the "Muslim man attacking a Catholic Church."