Incorrect;
the koup will handle much better on tyres as wide as 245 section as long as you don't exceed the original diameter. In fact' since the wider tires are heavier, reducing diameter by as much as 6 mm will keep acceleration and mpg the same but cornering will increase dramatically. For a 6" rim we'd recommend 225/50x16's. They work well on track.
On street cars for maximum handling the tread width should be about 120% of the rim width. Thus for a 6" rim width a tire with a tread width about 7.2" is a good choice. The tread width on most street tires is about 82% of the section width so a tire with a section width of 223, or 225, is a good choice. 225/50x16 has a diameter of 24.85" compared to 2205/55x16's 24.87 so you won't lose much in acceleration or mpog but handling will improve a lot.
PS for those concerned with mph and odometer 'error' that quarter-inch (6 mm) is an error of 1%, or 59.4 mph at 60 mph. and for the 24.85 vs 24.87 its virtually the same rpm and odometer readings. A 'bulge' of 1.5" is pretty common BTW on a tire with sidewall height of 4.4"..