I'm with you 100% right up to your last point, which sounds just wrong to me. The whole idea of "attention to detail" is that it's a personality trait that allows a person to see small details and defects even in areas where they aren't expert. And most of us believe it exists.

So yes: if you submit a resume with clear spelling errors (i.e. ones caught by a spel chkr) most of us would take that as evidence of a lack of attention to detail. And we'd generalize to you skipping a test case before pushing code, or making sure all your stock photos are licensed before deploying the site, or...