Actually, if memory serves, both are true.
On Stage 5 Popo was with Levi and Chris, but was dropped when Basso accelerated. He ended up ahead of Lance though, who was riding with Navarro and Brajkovic. It was impressive that Levi and Chris were the only team with two riders at the finish, and if Popo had hung on, they would have had three. I doubt having Navarro or Brajkovic drop Lance would have served any purpose, if they could have.
On the stage to Petrano, what you say is true BC, and why I called poor tactics. But in the last 4km or so Lance worked with Levi to the finish.
Lance was also seen fetching bottles on I believe the Blockhaus or Vesuvius climb.
I say overall bad tactics because they didn't win a stage, spend one day in any of the jerseys, and didn't get a single bonus point. For being the most powerful team in cycling, this is in my assessment has to be considered a disappointment, or a failure. I think that was based on their singular thinking that the way to win was to out pace everyone on the climbs, or hinge everything on the ITT in Cinque Terra. That failed as Levi didn't have the legs, and other riders were simply faster. After that, they had no other plan, and refused to try to attack early on any of the climbs, which was their only hope left (see Floyd, 2006, or Periero, 2006). The only serious break they tried was on Petrano by Popo, and he cracked big time (finished behind Lance and Levi even).
I also call poor tactics, or planning, as they didn't seem to be focused on the Giro leading into it with their best rider (Levi), or if they were, they didn't show it. His season seemed to be planned around the ToC and Castilla y León, leaving him to try to double peak for the Giro. The only time they mentioned he was going for the Giro was the week prior to the race. And to prepare for that, they raced and trained not in Europe, or Italy, but at the Gila, beating up on Cat 1's and pro's making $15k a year. All this while Menchov, DiLuca, Pelozotti and Basso focused their entire season on the Giro. To me this is poor planning (ie. tactics) by Astana.
I'm sure Jack will come on here saying I'm wrong and they could do no more. But the poor performance and no results speak for themselves.