Your dealer is completely wrong if that is exactly what he said. The ABS and stability control only care about tire diameters and the relative diameters front to rear, not wheel or tire width. I would actually recommend you use F12 K2 MPSS tires in 315/35 20 on the rear instead of the GTO tires, which are K1 and have less tread depth when new. You do not need the big fronts from the GTO, 285/30 20, because they may cause too much oversteer by sticking too well up front. The GTO has different suspension settings and components than the GTB, balanced for those huge front tires. Either the 245/35 20 fronts from the GTB or the 255/35 20s from the F12 should work fine. Fabio is correct that the difference in diameter (and thus rolling circumference) between the 305/35 20 (28.41", not available in MPSS) and 315/35 20 (28.68") GTO/F12 rear tires is not enough to cause any problems with the ABS/stability control. Here are all the late Ferrari wheel sizes including the 599 GTB and GTO and the F12.
If your dealer said the GTO tires may cause a handling imbalance on your GTB, that is correct. The big GTO fronts may cause oversteer, even with the one size larger GTO rears, and the stability control will intervene to try and control that oversteer.
Ferrari OEM Wheel Sizes
5 X 114.3 mm Bolt Pattern
612
Five Spoke F 18”, R 19”, 5 X 114.3 mm
Front 8J X 18 ET 43.5 mm , R 10J X 19 ET 51.1 mm
Five Spoke Modulars 19”, 5 X 114.3 mm
Front 8J X 19 ET 43.5 mm, Rear 10J X 19 ET 51.1 mm
Challenge Monolithic 20”, 5 X 114.3 mm
Front 8J X 20 ET 43.5 mm, Rear 10J X 20 ET 51.1 mm
599/HGTE/SA Aperta
Five Spoke F 19”, R 20”, 5 X 114.3 mm
Front 8J X 19 ET 43.5 mm, Rear 11J X 20 ET 63.8 mm
Challenge Monolithic 20”, 5 X 114.3 mm
Front 8J X 20 ET 43.5 mm, Rear 11J X 20 ET 63.8 mm
HGTE/SA Aperta Five Spoke 20”, 5 X 114.3 mm
Front 8.5J X 20 ET 40 mm, Rear 11J X 20 ET 63.8 mm
599 GTO
Five V/Ten Spoke 20”, 5 X 114.3 mm
Front 9.5J x 20” ET 38 mm, Rear 11.5J x 20” ET 63 mm
California/California T
Pentagram Forged, 5 Spoke 19”, 5 X 114.3 mm.
Front 8J X 19 ET 44 mm, Rear 10J X 19 ET 52.5 mm
V Spoke Forged, 5 Spoke 20”, 5 X 114.3 mm
Front 8J X 20 ET 44 mm, Rear 10J X 20 ET 52.5 mm
458
Five/Ten Spoke 20”, 5 X 114.3 mm
Front 8.5J X 20 ET 46.5mm, Rear 10.5J X 20 ET 58.5 mm
458 Speciale/Aperta
Five Spoke 20”, 5 X 114.3 mm
Front 9J X 20 ET 44.7 mm, Rear 11J X 20 ET 48.4 mm
FF
Five Spoke 20”, 5 X 114.3 mm
Front 8.5J X 20 ET 46.5, Rear 10.5J X 20 ET 53.4 mm
F12
Five/Ten Spoke 20”, 5 X 114.3 mm
Front 9.5J X 20 ET 48.4 mm, Rear 11.5J X 20 ET 71.6 mm
F12 TDF
Ten Spoke 20”, 5 X 114.3 mm
Front 10J X 20 ET 48.4 mm, Rear 11.5J X 20 ET 57.3 mm
488
Five/Ten Spoke 20”, 5 X 114.3 mm
Front 9J X 20 ET 44.7, Rear 11J X 20 ET 38.5 mm
5 X 108 mm Bolt Pattern
Testarossa
Five Spoke 16”, 5 X 108 mm
Front 8J x 16 ET 34.2 mm, Rear 10J x 16 ET 59.6 mm
512 TR/F512M
Five Spoke 18”, 5 X 108 mm
Front 8J x 18 ET 46 mm, Rear 10.5J X 18 ET 81.75 mm
348
Five Spoke 17” Early, 5 X 108 mm
Front 7.5J X 17 ET 49 mm, Rear 9J X 17 ET 68 mm
Five Spoke 17” Late, 5 X 108 mm
Front 7.5J X 17 ET 49 mm, Rear 9J X 17 ET 43.05 mm
355
Five Spoke 18”, 5 X 108 mm
Front 7.5J X 18 ET 32 mm, Rear 10J X 18 ET 77.9 mm
456 GT/456M
Five Spoke 17”, 5 X 108 mm
Front 8.5J X 17 ET 50 mm, Rear 10J X 17 ET 24.6mm
360
Five Spoke and Modular 18”, 5 X 108 mm
Front 7.5J X 18 ET 31.5 mm, Rear 10J X 18 ET 38.95 mm
360 Challenge
Challenge Monolithic 18”, 5 X 108 mm
Front 8J X 18 ET 31.5 mm, Rear 10.5J X 18 ET 39.95 mm
360 Challenge Stradale
Challenge Monolithic 19”, 5 X 108 mm
Front 7.5J X 19 ET 31.5 mm, Rear 10J X 19 ET 39 mm
550/575M/Superamerica
550/575M Five Spoke/Modular 18”, 5 X 108 mm
Front 8.5J X 18 ET 43.65 mm, Rear 10.5J X 18 ET 32 mm
575M/575 Superamerica Five Spoke Modular 19”, 5 X 108 mm
Front 8.5J X 19 ET 43.6 mm, Rear 10.5J X 19 ET 32 mm
F430
Five (Ten) Spoke, Challenge Monolithic, Scuderia Style 19”, 5 X 108 mm
Front 7.5J X 19 ET 31.5 mm, Rear 10J X 19 ET 39 mm
F430 Challenge
Challenge Monolithic, Center Lock
Front 8J X 19 H2 Center Lock, Rear 10.5J X 19 H2 Center Lock
Scuderia/16M
10 Spoke, Five Spoke 19”, 5 X 108 mm
Front 8J X 19 ET 31.5 mm, Rear 10J X 19 ET 39 mm