OK, here's the official Goodyear reply:
Sent by: Goodyear Tire & Rubber Company
Consumer Relations 739
1144 East Market Street
Akron, OH 44316
Voice #: (800) 321-2136
Fax #: (330) 796-3753
Thank you for contacting our web site. The F1 Supercar tire is indeed a unidirectional tire, designed to not only rotate in a specific direction but to be mounted with a specific side facing out and the direction of
rotation is on the sidewall.
I'm still looking for the directional markings on the sidewall, but the answer tells me you can't swap between left and right sides.