The Riviera exhaust is quite a bit different from the Electra/Wildcat layout. Attached are the pages from the 1972 Buick Master Chassis Parts book.
It was common to leave out the resonators when repairing the exhaust system. Attached is a page from the 1979 AP muffler replacement catalog showing tail pipes which eliminated the resonators. Before the stainless steel systems were used, owners did not like the expense of having to replace 4 mufflers instead of two if it could be avoided.
Dual exhaust systems were further criticized by owners who drove the cars around mostly on short trips of say 1-2 miles. The side with the exhaust heat riser valve would rust out sooner due to not reaching full temperature. This would result in excess water build up. Also the resonators, being farther back, would run cooler than the main mufflers.
The units had small drain holes to let water escape, however owners seldom checked to see the openings were clear. Shops sometimes would install the unit with the hole up instead of down causing early rust-out.