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The standard GTS type RXA wheels (without tires) were kindly weighted by MrkiC63 at:
front: 19" x 9J --> 11.3kg (24.9lbs)
rear: 20" x 11J --> 12.4kg (27.3lbs)
The GTs Edition 1 20x11 wheel weighs 29.0lbs, or at least mine did. I haven't weighed the front.
Curious about the GTr myself. I called a race shop for fun and asked them what performance I'd see if I'd lighten the GTs Ed 1 wheels. They replied that a track alignment and lithium ion battery would be a much better place to start, if improving track times is important to you. Said every GTs they've looked at comes with a bit of understeer from the factory.