Confusion (move) & Psychic (move) are not the only damaging telekinetic Psychic-type move.
Other than that, telekinetic Psychic-type damaging moves are....
https://bulbapedia.bulbagarden.net/wiki/Glitzy_Glow_(move) (Starter Eevee only.)
Shattered Psyche, a generic Z-Move for most Psychic type moves.
There's also whatever Psychic Fangs is: "The user bites the target with its psychic capabilities." Notably, Psychic Fangs can destroy Light Screen & Reflect, which are described as "wondrous walls of light".
Besides Necrozma's 3 signature moves that are Light-based, Luster Purge (Another Legendary Signature move.) is light-based, & Psybeam is a "peculiar ray".
Among other oddities. (Synchronoise is described as a Shock Wave, Mist Ball is mist-like down (As in, presumably feathers? Latias has those??), Psywave is an "odd, hot energy wave", & moves like Psycho Cut, Psystrike, & Psyshock are "psychic power".
(Ghost-type also has Telekinesis via Poltergeist. Or it's just possession of an item?)
Astonish might be Fear Manipulation, as might be Nightmare. Night Shade is definitely, as well as Illusion Manipulation, for being a Frightful Mirage.
Funnily enough, this means Psychic-type's most certain forms of Mind Manipulation are.... Dream Eater (Dream Manipulation, but that kinda overlaps with Mind Manipulation.) & Psycho Shift, which "uses the power of suggestion" to swap status conditions.
Also, as some may know, Ghost is closer to Darkness/Shadow Manipulation than Dark.
Dark has.... Dark Pulse, I guess? & even that's described with "The user releases a horrible aura imbued with dark thoughts. It may also make the target flinch."
(Oh, & Starter Eevee's Baddy Bad, a Dark-type move, is
Light Manipulation, as it's stated it puts up a wondrous wall of light, which does the effects of Reflect.)
There's Galarian Moltres's Fiery Wrath: "The user transforms its wrath into a fire-like aura to attack. This may also make opposing Pokémon flinch."
There's Lash Out: "The user lashes out to vent its frustration toward the target. If its stats were lowered during the turn, the power of this move is doubled."
There's whatever Max Darkness is, though its Japanese name seems to use a word for "evil", too, much like the Japanese name for the Dark type.
Night Daze says "The user lets loose a pitch-black shock wave at its target. It may also lower the target's accuracy." & Zorua, Zoroark & Lunala can learn it.
So about only 1, 2 or 3 Dark-type moves (Dark Pulse, & Max Darkness, & Night Daze.) seem to be Darkness Manipulation. If we looked at Fiery Wrath & Lash Out, you could argue Rage Power is almost as common in the type, but really, a lot of it is just dirty tactics. (Ambushes, feigning defeat, attacking retreating opponents, etc.)
Ghost has Shadow Punch, Shadow Sneak, Shadow Ball, Shadow Claw.... G-Max Terror, which is stepping on the foe's shadow.
Also, Shadow Force (Giratina's move.), Spectral Thief (Marshadow's move.), which is hiding in shadow....
Funnily enough, Spirit Shackle is Shadow Manipulation for stitching the foe's shadow to the ground & Shadow Bone is Soul Manipulation for attacking using a bone that has a spirit in it. Astral Barrage is also Soul Manipulation.
So yeah. Dark only has a small case for it being Darkness/Shadow Manipulation, as only a few moves qualify. Ghost has a very strong case for Shadow Manipulation, a couple of moves that are Soul Manipulation, & a little bit of Fear Manipulation.
I mostly went through Attacking Moves, mind you.
Also, IDK why people think Fairy would qualify for Holy Manipulation.
Play Rough is playful violence, Disarming Voice is Empathic Manipulation, Life Manipulation (Or Absorption?) via Draining Kiss, whatever Guardian of Alola, Nature Madness's, & Max Starfall are, Spirit Break (Grimmsnarl's Signature Move. "Soul Crush" in Japanese.), & whatever G-Max Smite is, & whatever Moonblast (Which says "borrowing the power of the moon".) is.
Heck, considering there's Aromatic Mist, Fairy Wind, Misty Terrain, Misty Explosion, Sparkly Swirl (Described as "The user attacks the target by wrapping it with a whirlwind of an overpowering scent.".), & Strange Stream, there's a case for Air/Wind/Mist/Moisture or whatever Manipulation that is.
IDK where Ectoplasm Manipulation for Ghost-types came from, but I haven't checked most of the Status Moves of the few types I've checked so far.
