That would make sense in more than one way.
Especially with smaller systems, the head contact is tighter towards the middle of the tape. Depending on head material, normal wear is more pronounced towards the edges (source).
If for some reason the transport’s pinch-roller is tilted from the capstan (because of some mechanical problem or just a bad bout of dirt), then the tape itself tends to shift towards the edge of the cassette shell. And it could be that the heads have corrective “brackets” on them so azimuth still holds, that still leaves the risk of friction near the pinch roller, wrinkling the edge. (I’ve spent too many hours messing about with a horizontal transport cassette deck at home to know this)
With regards to head transformer effect, around the edges of the heads you could expect that to be somewhat different, also you’d want the sync stripe (i expect that signal is loud) to sit away from more delicate content, at least a couple of tracks away.
Is there a big difference? It depends on the technical design of the machine in question. It could be big, though I’d expect not so much. But once you know how the original sounded, it would stick out (until you let go). Patch up your machine as it makes sense to you, why optimise it before you know what you’re optimising for (or away from)?