If you view magic as a pie graph, arcane and divine magic have huge slices, making it hard to figure out what they shouldn't be allowed to do, which has always been a big problem in Psionics design.
Both weave and mind share the same pie, with the same thematic spell effects. But they go about the magic differently.
The weave is more about recipies and symbolic ceremonies. The mind is more intuitive, visualizing an effect to manifest it (sometimes while within an altered state of mind), or attuning a feature of nature to rapport with it.
The weave magic is more technical. The mind magic is simpler, more personal.
Weave can do telepathy and telekinesis, and mind can do healing and fireball. Same pie.
But there are weave spells whose descriptions feel nonpsionic, if they are too piecemeal and fiddly, or rely on external ceremonial objects or on external creatures to do the effect.
For mind, for psionic and primal, any prerequisite material component is a nonstarter. Moreover, spells like Augury that requires a deck of cards or similar, or Magic Jar that swaps consciousnesses into a container, are too object-oriented. It feels more like tech.
Spells like Private Sanctum and Hallow, with lists of disparate situational effects to choose from, are too fiddly.
Spells like Commune or Contact Other Plane are too dependent on the external creatures - for them to do the magic instead of the mage.
Mind magic can do similar effects, but the spell descriptions feel different.
A psionic might have powerful telepathy across any distance and any plane, and can conceivably contact the mind (or thought construct) of a celestial or fiend, but there would be no fixation on them. It is fine when a primalist does Commune With Nature, but this is just a normal chat with any elemental, whether a tree, or a rock, or a thunderstorm, or a star. There is no ... dependency ... on these nonhuman persons. If a rock was there when something happened, the rock probably would know something about it. But if not, there is no reason to expect a rock to have any special information.
A psionicist can augur yes-no intuition, in other words, be "psychic", but there is no need for an object like a tarot deck. And even if the psionicist happens to enjoy the cartomantic technique, it neednt cost 25 gold pieces. And so on.
A psionicist could defend a space by imbuing ones own mind into the site, somewhat like personally haunting the place. A primalist could connect with the stones or waters of the place. But there is no fiddliness or gadgetry.
Then there are Bygbys and Mage Hand spells with floating hand puppets. Psionic telekinesis? Nope.
There can be primalists that attune fire and shoot Fireball - but there would be no bat guano ingredient.
Many spell effects overlap between weave and mind, but their spell descriptions feel different.
The weave is external and formulaic, whether recipes or symbols. More like programming.
The mind is internal and personal, whether visualization or rapporting with other minds.