I agree with the first paragraph and disagree with the last sentence.

For me, it's less about the typing or language skills and more about proving that you can produce a complete work-product. A typo-laden resume indicates to me that you failed to have at least one native speaker of the language review it.

If you have a known weak area (English is not your most fluent language and is also required for the job), I would expect a thorough individual to seek help.

Just like I would expect a rock-star hacker to call tech support or post on open-source forums for help if they have a particularly difficult bug that they aren't making headway with.