Trust PF has a separate identity, though they submit returns to EPFO, the corpus is retained under the trust itself. Therefore, transfer or withdrawal from trust-based PF is possible only by submission of documents to the trust.
In closed units case, Form 13 signed by the present employer also works, but it takes months to get executed as PF trusts would confirm it with the employer again.
The organization has no role in the settlement of EPF except for the payment of contributions and endorsement of documents submitted by the employee. The organization has to check the Date of Joining / Date of Leaving / Name and attached documents (KYC), and attest the signature of the employee. However, in pension cases, the employer has to submit the last 12 months' contribution records on a form and issue a break/no break certificate only.
It is the money of the employee, and the employer has no control over it. However, they have to ensure that the correct person is claiming the fund, as neither the trust fund nor the EPFO is familiar with the employee. Only the employer can certify that the person was employed and was an actual contributory.