I was just thinking the very same thing myself. I know they say it wouldn't apply
to business travel, but it would cover "vacation or other travel 100 miles or more away from home".
I would imagine the answer is "Yes", but unintentionally so.
Remember that as a tax break/credit, it's ultimately up to the IRS to determine if you've followed the law correctly and allow you to claim it.
Something to think about before you book that RTW...
JD