Tactician and Hunter / Inquisitor Bonus Feats

[cavernshark]

[Edit] Updated to include Inquisitor since it looks like they'd interact the same way

How does Hunter or Inquisitor's bonus teamwork feats interact with Tactician, if Tactician is taken after the Hunter/Inquisitor gets its first bonus feat?

Can a hunter who takes a level of Cavalier after gaining the Hunter or Inquisitor's ability to change the most recent feat acquired alter the bonus feat acquired by Cavalier, thereby allowing the character to rotate what feat can be shared?

I was working on a character concept where I'd go 3-4 levels in Hunter and then take a level or two in Cavalier when I stumbled on this interaction. If I'm reading it correctly, since the last bonus teamwork feat I acquired came from Tactician, and the Hunter's teamwork feat lets me rotate the last bonus teamwork feat I acquired, that I should be able to rotate my Tactician teamwork feat until I acquired another bonus teamwork feat (such as from continuing in Hunter). Is this a correct interpretation?

Relevant material:

Hunter 3 - Teamwork Feat:

At 3rd level and every 3 levels thereafter, the hunter gains a bonus teamwork feat in addition to those gained from normal advancement. The hunter must meet the prerequisites of the selected bonus teamwork feat.

As a standard action, the hunter can choose to learn a new bonus teamwork feat in place of the most recent bonus teamwork feat she has already learned. In effect, the hunter loses the bonus feat in exchange for the new one. She can change only the most recent teamwork feat gained, and must meet the prerequisites for the newly selected feat. A hunter can change her most recent teamwork feat a number of times per day equal to her Wisdom modifier (minimum 1). Whenever she gains a new teamwork feat, her previous teamwork feats become permanent.

Inquisitor 3 - Teamwork Feat:

At 3rd level, and every three levels thereafter, the inquisitor gains a bonus feat in addition to those gained from normal advancement. These bonus feats must be selected from those listed as teamwork feats. The inquisitor must meet the prerequisites of the selected bonus feat.

As a standard action, the inquisitor can choose to learn a new bonus teamwork feat in place of the most recent bonus teamwork feat she has already learned. In effect, the inquisitor loses the bonus feat in exchange for the new one. She can only change the most recent teamwork feat gained. Whenever she gains a new teamwork feat, the previous teamwork feat becomes set and cannot be changed again. An inquisitor can change her most recent teamwork feat a number of times per day equal to her Wisdom modifier.

Cavalier 1 - Tactician:

At 1st level, a cavalier receives a teamwork feat as a bonus feat. He must meet the prerequisites for this feat. As a standard action, the cavalier can grant this feat to all allies within 30 feet who can see and hear him. Allies retain the use of this bonus feat for 3 rounds plus 1 round for every two levels the cavalier possesses. Allies do not need to meet the prerequisites of these bonus feats. The cavalier can use this ability once per day at 1st level, plus one additional time per day at 5th level and for every 5 levels thereafter.

For reference, this not working isn't going to ruin my character concept. It would kind of just be icing if it did work, especially since I'd probably end up continuing in Hunter and it'd only last a few levels anyway.

[dragonhunterq]

As I understand it class abilities are normally self-referential. So Inquisitor and Hunter references to last bonus feat mean the last bonus feat received as a Hunter/Inquisitor bonus feat, not a bonus feat granted by another class.