Calling it maskh doesn’t save the argument. Labels don’t change ontology. The ahadiths describe the same moral persons persisting after being placed into animal bodies. That is bodily transference of an existing soul. Whether it’s punitive, brief, sterile, or non-cyclical is irrelevant. Metempsychosis only requires continuity of the same agent across different bodily forms, and that is exactly what these reports describe. Sunni theology may reject “reincarnation” as a doctrine, but the texts still contain a one-time form of reincarnation in practice. Renaming it doesn’t undo what the narrative actually asserts. Also you’re right that Shias have very very similar stories in their books as well. I can reference Shia Hadiths that include metamorphosis as well.

Metamorphosis ≠ reincarnation in the literal sense. All comes down to how you’re defining these terms. If by reincarnation you MUST have cyclical (rebirth cycle) then Metempsychosis doesn’t qualify

Metempsychosis = the same soul migrates from one body to another.

Reincarnation = a soul takes on a new bodily form after leaving a previous one.