Ok. One final time, as simply as possible:
If you want to wiggle your toe, you first have to have a thought to do so, and then your nervous system must relay that electrical message through your central nervous system, down the length of your leg to your foot, and then your toe can move.
Storm's nervous system is wired so that her bodily perception does not end at her skin, but rather extends infinitely into the universe around her. The furthest reaches of space are her 'toes'. When she wants to move her toe(make weather effect), she still has to have a thought, and allow that thought wave to propagate through the 'nervous system'(the atmosphere/universe) to reach her toe, and make it wiggle(do the weather effect).
In order to
feel/know her toe is there in the first place, she must have an empathic/telepathic connection to her body(let's call that the autonomic nervous system), and to actually
move the toe, that is to say the active atmokinetic/telekinetic aspect, she utilizes the somatic nervous system. These two main branches can be further divided into subbranches(autonomic consists of the parasympathetic nervous system(rest and digest) and sympathetic nervous system(fight or flight); the somatic consists of spinal nerves(carry motor commands and sensory input to the spinal cord), cranial nerves(carrying info into and out of the brain), and association nerves(which integrate the input and output)). If any of these branches are compromised or interrupted, she can't move her toe(use her powers).
We know for certain that her ability to move her toe can be interrupted(when she lost her powers from Forge's gun), even if her toe might wiggle seemingly on it's own(when her powers were off, but the weather would still occasionally do dramatic things inline with her emotions). There are any number of real forms of paralysis to compare in this regard(from severing nerves from trauma, to auto-immune diseases which corrupt or degrade the nerves). When Viper cut her up in X-Treme X-Men, her powers suffered(despite the care of Khan's medics, largely because of her over-exertion before the nerves had fully reconnected). In X-Men The End, we saw a Storm who was almost completely paralyzed from overuse of her powers(which she still could use, but she couldn't move herself anymore, so, an example of one of those subbranches being compromised, while others still intact). Various mutant suppressing technologies and various physical or energetic fields, have been used over the years to stop her from using her powers as she would like.
For additional comparison, notice the abilities of traditional telepaths/telekinetics:
In the early days, when Charles used his telepathy, he would have to astral project, sending his mind to actually travel to find the target mind before he could read their minds or communicate. Over time this intermediary step is brushed over, and we just see the floating head/thought bubbles/captions or what have you, but this early phase shows his process.
[IMG]https://kevinreviewsuncannyxmen.files.wordpress.com/2014/06/photo
Here we can see Jean and her telekinesis represented as a net of lines extending from her brain, searching out to find the objects she wants to move telekinetically. She must make that connection before the thing can move, and it can be beyond her actual physical ability to see, by using her 'tk net' to 'tactility grasp' for the thing. Once she feels it, then she can move it. Again, over time, the net of lines terminating at her brain is dropped in favor of a nimbus of glowing energy(that may or may not be visible, may or may not actually connect back to her head directly) shown around the object in movement, but this early phase shows her process.
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Traditional psions have various applications of remote viewing or extra-sensory perception. Storm's 'energy vision' is just her own specific variation of this common psionic ability(instead of regular pictures or words, she is attuned to the elemental forces). Regular telepaths' esp is epitomized in their ability to go to the Astral Plane, which is actually the sum totality of thoughts for all beings, which can often be represented as a colorful panoramic substrate that they can shape and bend into their desired forms with pure strength of will(to battle, or explore, or otherwise interact with other minds). Storm usually does not have voluntary access to this Astral Plane, and telepaths usually do not have access to her own 'Atmospheric Plane' if you will, but Storm has on rare occasions been helped to the Astral Plane by a normal telepath, but her elemental powers are typically useless there. In a singular case, however, she
was able to use her normal mutant powers to effect change in the Astral Plane(when she used her lightning to erase Bishop's memory of all that Hope/Cable villainy), showing her powers are in fact psionic fundamentally.
In conclusion, while Storm's powers do differ in very important ways from usual tps/tks, her power
is fundamentally psionic, and through her nervous system and consciousness, she is able to establish a connection with the elemental 'mind'(and spirit of course, if you will) of the universe(a special version of tp), and mentally control its physical qualities at a distance(tk).
Ok, that's it. If you don't get how her powers are now comparable to tp/tk, and how her conscious mind still has to work to connect to the elements to do stuff, I can't explain it any more succinctly.