Under the FIDIC Red, Yellow, and Silver Books (both editions), the Contractor has a contractual...

The Contractor may submit Value Engineering proposals to improve efficiency or reduce costs; however, it is not an absolute contractual obligation to submit such proposals. Also, the preparation of these proposals is generally at the Contractor’s own cost initially. If the proposal is accepted and results in a Variation, then adjustments to the Contract Price may occur, potentially reimbursing the Contractor.

Thus, both statements are false.