Everyone puts the Anatolian split first and early. It doesn't mean the use of the term "Indo-European" for the entire family, Anatolian included, is in any way superseded or unpopular among experts.
Certainly, that Hittite broke off first is the consensus, and thus it makes sense (but isn't the consensus) that we should say something like "Indo-Hittite". BUT, one is a matter of describing history, and the other is an arbitrary label attached to that description.
Your "well akshually" was a nice way of softening the original poster's brief comment. I just don't think any of us truly disagree (barring that user's subsequent thoughts, of course).