Riveted boats are great. They'll do the job just fine 99% of the time and they're cheap.
HOWEVER...
if You've ever been in a riveted boat, then got into a welded boat, you will want the welded one. It's much more rigid, rides better, typically handles better in turns. Welded boats are thicker material and therefore heavier. They're thicker for a reason. How many times has anyone tried to weld a long bead on a .063" aluminum plate with a spoolgun? It can be done but it tends to "bleed through" the back side of the panel...and theres a much greater chance of burnthrough. So if anything on a riveted boat needs attention (crack, etc), the welding must be done by TIG usually. And that means more money. Even then, sometimes it can't be properly welded because its thin. Advange: welded boat. They're thicker material and if for some odd reason it develops a crack somehwere, it can be easily and inexpensively welded. Most manufacturers of welded boats offer a long warranty period against hull failure anyway. I know War Eagle did at one point offer a limited lifetime hull warranty. I believe DuraCraft did too at one time, however, they're out of business now.
If all you want is a 1432 or 1232 pond hopper that will never see a stump or rock, a riveted boat is fine. But if you are in an area that has submerged trees, rocks, stumps, anything of that nature, or if you're going to hunt flooded timber...or basically do anything that might dent the hull or gunwales, you'll want a welded boat. I prefer welded anyway just because of the MUCH better resale value in this area. After running my riveted 1542 Grumman, then jumping into a 1548 War Eagle, the difference is amazing. I felt much more confident in the WE.