First, my point had nothing to do with mini-tubbing. The stock wheel tubs on a Barracuda are the same as a Duster/Demon/Dart Sport. In fact, I believe that all '67-'76 A-bodies shared the same inner tubs, you can see my '71 Dart has the same indents as my '73 Duster and appear to be the same as the Barracuda (hard to say with the bracket in the way in the picture). The replacement inner tubs are all the same. The outer tubs are different, but shared by the Barracuda/Demon/Dart Sport/Duster. Those outers are 1” wider than the hardtop Darts/Scamps/valiants. So 275’s fit with no modifications, and 295’s will fit with a 1/2” spring offset and a little trimming on the quarter lip. A reverse tub like I did on my car can probably accommodate 315’s.
Here's a Barracuda, by
@Bodyperson. It's already mini-tubbed here but the bracket is in the same spot on the tub (he narrowed the seat). You can kinda see the indents
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This is my '71 Dart. Same indents, just no brackets since a hardtop Dart was never offered with a fold down seat.
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Second, ‘73 up Dusters/Dart Sports with fold down seats have the same indent and similar bracket on the inner tub. Same exact issues as a Barracuda if you wanted to mini-tub. But it’s not like no one has mini-tubbed a fold down seat car, it has and can be done. And you can do it without cutting the seat down. You’d just remove the brackets, widen the tubs, and weld them back in.
Seat bracket on a factory fold down seat Duster
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You can see in the picture above of the Duster bracket, and in the picture of the Barracuda above, that the seat bracket actually locates the seat pretty much even with the forward part of the wheel tub. The large 90° bracket extends around the corner of the tub and gets welded into the indent. But the part where the seat actually bolts to the mount is less than a 1/2" from the front of the tub. The upper latch bracket also wraps around the tub, but again, the actual latch is well forward of the front of the tub. So, if you got rid of the wrap around sections and cut back the pass through panel
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You could basically just weld a flat plate with the threaded nuts attached to it in the same location as the original seat brackets. The bolts for the seat bracket would then extend into the wheel tub, so you'd have to seal them, but it's not like other bolts in the car don't already do this (seat belt mounting bolts, for example). You might even get away with a couple of large dimples in the wheel tub if you used a short bolt. The result would be that you don't have to section the rear seat at all, just deal with the small gap you'd get because the bottom of the fold down seat would move forward a smidge. On the later fold down Duster/Dart Sport cars it wouldn't require anything at all, there'd just be a slightly larger gap between the folded down seat and the pass through. The Barracuda might take a little more tweaking because I believe it does the pass through and fold down a little different.
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But certainly people have done mini-tubs on Barracudas, and it's really no harder than doing one on a fold down seat Duster/Dart Sport. There is still some work to do on the interior panels, but that would apply to both the Barracuda and the Duster. Bottom line is I wouldn't avoid a Barracuda because of the fold down seat. And if you don't mini-tub the Barracuda is probably the best car for the widest tires possible.