Pyro as a prefix, comes from the Greek word πῦρ ('pyr') which means fire.
Psychopyrokinesis is the state whereby the human Psyche and the mental powers unconsciously effect the world of material objects, without another cause coming into play, whereby fire is caused by means of unconscious thoughts or wishes.
Pyromania is (unrelated) an impulse control disorder, in which individuals repeatedly fail to resist impulses to deliberately start fires, in order to relieve tension or for instant gratification. While the term refers to purposeful fire setting, the Pyromaniac uses a box of matches or other fire lighting utensils, not his/her brain to start the fire, consciously or unconsciously, so its a different phenonmenon than Pyrokinesis or Psychopyrokinesis.
Pyrotechnician is (unrelated) a person who is responsible for the safe storage, handling, and functioning of pyrotechnics and pyrotechnic devices (Eg fire works). Although the term is generally used in reference to individuals who operate pyrotechnics in the entertainment industry, it can include all individuals who regularly handle explosives (Eg building demolitions)
It emerges solely as a result of a psyche's damaged state. Consequently the human therefore has no knowledge that he suffers from such psychic problems. The phenomenon is triggered via his/her Psyche and his/her block of mentality, respectively, as a result of its mental fluidal powers.
This means that the aforementioned forms are completely consciously and volitionally engendered as a result of the mental fluidal powers, respectively, as a result of the block of mentality and its electromagnetic oscillations and its powers, consequently the phenomena are therefore consciously engendered, regulated and controlled by the brain.
These differences are, in their actuality, obviously still not known to para-psychological research, because these kinds of explanations are nowhere to be found within specialist, para-psychological texts.
That is also the case with other para-scientific things and facts, whereby even the most various terminologies are included in regard to the most various para-psychological phenomena.
And what there is yet to say
The aforementioned designations do not stem from purely terrestrial assessments of values of terms, because only some were created by Earth humans who occupied themselves with Parapsychology.
Diverse other terms and designations stem from Nokodemions and Henoks spiritual teaching and were reshaped in an understandable way for the Earth humans by "Billy" Eduard A. Meier with the help of the Plejaren Ptaah.
Specifically, these terms concern Psychoteleportation, Psychoteleplasty, Materialkinesis as well as Psychomaterialkinesis, Pyrokinesis, Psychopyrokinesis, Psychotelekinesis, Psychoprojection, Psychoautopyrokinesis and Psychoautokinesis.