Oh boy.
These are the measurements for a 255/60/15. These measurements are taken when that tire is mounted on a 7.5" wide wheel.
View attachment 1716475042
So the two things we'll look at is the tread width, and the section width. The measuring rim is selected so the tread is flat, and being the part with actual tread molded on it that will not get wider than 8.5". Unless you mount it on a wheel that's very narrow or very wide, the tread width measurement won't change much. The section width is the sidewall bulge. It will change, because it has to make up the difference between the tread width and the wheel width.
A 15x7" wheel is 8" wide outside lip to outside lip. A 15x8" wheel is 9" wide outside lip to outside lip.
So here's the deal. The section is 10.2" on a 7.5" wide wheel. That section width will be slighter WIDER on an 8" wheel. And it will be slightly NARROWER on a 7" wide wheel. It has to be, because the wheel will pull it in to the rim lip.
So putting a 255/60/15 on a 15x7 will mean MORE CLEARANCE than if mounted on a 15x8" wheel, assuming the same wheel offset (centerline). The sidewall will appear more bulged, but it's not gotten wider, it's actually gotten narrower because the wheel is narrower. Conversely, on the wider wheel the sidewall will appear more vertical, but it's still wider!
The tire of course has to stay centered on the wheel, so the overhang from the lip is the same on the inside and the outside. No "excess pushed to the inside", that's not a thing.
And that's why you have to pay attention to people's wheel widths when they say a certain tire fits. Because a 255 on a 15x7 is narrower than a 255 on a 15x8. Not by a lot, but by enough to make a difference.
Regardless with a mini-tub and spring relocation on that car a 255 will have room to spare no matter what wheel width it's mounted on, as long as the backspace is correct to center it in the tub.