14 by 5.5 vs 14 by 4.5 on a 67 barracuda ?

NO 67-69 Barracudas came with 13" wheels.
Barracudas were considered by Chrysler to be a higher trim level than Darts. All Barracudas had 14"wheels. Interiors were also more "plush" than Darts.

14 X 4-1/2 standard.
14 X 5-1/2 standard on S cars and optional on others. Pretty sure disc brake cars were upgraded to 5-1/2. Been a long time but I think A/C cars got 70 series tires and would also have 5-1/2 wheels. D70 and E70 tires always were mounted on the wider wheels. HD suspension option (standard on S cars) were 5-1/2. Trailer towing package too. Basically, any car with factory front sway bar had the bigger wheels.
''S" cars and cuda package cars as well had 14x5.5