I have no opinion as I didn't know about it until you mentioned its name. By quickly browsing the page (just back from an offline moment and I have very little time at the moment), it seems that vortex science disagrees with some experimental facts. I find it surprising.
Anyways, it seems that there is no published work on this model. Maybe I am wrong, then please refer it to me. But without any article backing it up, this means the theory has not been confronted to peer-review. Therefore...