The F1 materials list wouldn't necessarily preclude REAMS unless the secondary filler polymers (besides the primary polypropylene-which is allowed) are banned.
Despite some hooray PR about that stuff, the major reason you don't want to replace a traditional F1 carbon fiber polymer matrix composite is that the REAMS stuff is much, much less stiff than the carbon composite (say 1/30th or 1/50th or even 1/100th the stiffness) . This would mean that the structure would be deforming much more, which is not what you usually want in a high performance - high stiffness driven structure.
REAMS would make more sense in some street car applications in which the part is subject to denting - like maybe bumpers or fenders or door skins. Much like the late Pontiac Fiero.