The section you reference state it's applicable to businesses, not individuals.
I had this belief as well, but on the Illinois page it states differently and when I was audited, this was not applicable. Illinois is the only state that has taxed me while working outside of the state. I've challenged them because I am not a resident and they always refer back to the information listed in their documents, which are on their page.
The only way around this as I stated, the company has to state your residency as your work location. This is how all of the major companies keep their employees from paying taxes to Illinois. Either way, if you can keep from paying, more power to you. I've been audited over 11 times and the state has held firm to my previous statement. (Note: and I've never paid any extra or been penalize) The solution was to state my resident as the business work location.
