I agree, Tag Tornado matches mostly deliver and have a more interesting pace than regular tag matches. Wrestling today is much faster than in the years when tag wrestling was a major factor. Plus, the regular tags have really worn out. Today, we've seen almost every possible outcome for a tag match. The standard tag formula (for example with over-the-top hot tags) doesn't work anymore and to make it interesting, a lot of interference and rule breaking is booked, but that takes away from the legitimaticity. In TNA, where a lot of people consider the tag division as good, most matches are fast-paced, have high spots and agile contenders. You could say they adopted the X-Division pace for the tag division.
I think tag wrestling can still be interesting, because between two guys, a lot of psychologal mind games can evolve, with elements like jealousy, life-long friendship, friction, bullying, betrayal, unity or loyality. Plus, feuds can be made in a territory where singles wrestling can't go. Four people always allow another level of twists and stories. But it really needs to be updated.
That means, Tornado Tags are an important factor. I'd even consider making it the primary match type. It's more interesting to watch, double teaming with double team moves can easier be included and brings situations singles wrestling can't deliver, it takes away from some of the bullshit situations of standard tags and I don't really see negatives, besides a loss of focus on certain situations.