It’s not possible to prove a negative. Do you want a quote from Tim Cook?
_Of course_ it's possible to prove a negative. Why do people insist on repeating this as if it's actually true?
No, they aren't.
One, disproving a negative claim is exactly proving the opposite (positive, if the same style of expression is used) claim (and vice versa), so it can't be harder to both prove and disprove negative claims, even if they were real distinct classes.
Second, “positive” and “negative” claims are largely phrasing choices; it's quite possible to have positive and negative claims that are semantically equivalent.
Additionally, in this case, the claim that a company can be trusted is much more difficult to prove than the claim that they cannot be. Burden of proof, difficulty of proof, and whether the claim is expressed as a positive or a negative have no intrinsic link.
Are you saying that Apple can be proven a company that can be trusted to keep user data secure?