Can the Dimension Dervish chain be use in conjunction with combat, teamwork feats?

Question

Can I string the Dimensional Agility Feat chain (specifically, Dimensional Savant) and Precise Strike feat together? As I read it since I can flank with myself as an ally doesn't the feat bonus apply as well?

Precise Strike:

Whenever you and an ally who also has this feat are flanking the same the creature, you deal an additional 1d6 points of precision damage with each successful melee attack. This bonus damage stacks with other sources of precision damage, such as sneak attack. This bonus damage is not multiplied on a critical hit.

Dimensional Agility:

While using the Dimensional Dervish feat, you provide flanking from all squares you attack from. Flanking starts from the moment you make an attack until the start of your next turn. You can effectively flank with yourself and with multiple allies when using this feat.

Answer 1

Yes

Precise Strike states:

...Whenever you and an ally who also has this feat are flanking the same the creature... (d20pfsrd, Emphasis mine)

And the FAQ on the Paizo site says:

You count as your own ally unless otherwise stated or if doing so would make no sense or be impossible. Thus, "your allies" almost always means the same as "you and your allies." (Link)

Since Dimensional Savant makes it possible to flank with "an ally" and does not explicitly say you can't flank with yourself, this works.

Answer 2

No, this does not work

Precise Strike says:

Whenever you and an ally who also has this feat are flanking the same the creature, you deal an additional 1d6 points of precision damage with each successful melee attack [...]

There is no argument about whether or not you count as your own ally, but you don't count as two people. As you can see, the Precise Strike feat specifically requires both you and an ally.

Dimensional Savant, in its entirety, says:

You flash into and out of reality so quickly it is impossible to tell exactly where you are at any given time.

Prerequisites: Dimensional Agility, Dimensional Assault, Dimensional Dervish, ability to use the abundant step class feature or cast dimension door, base attack bonus +9.

Benefit: While using the Dimensional Dervish feat, you provide flanking from all squares you attack from. Flanking starts from the moment you make an attack until the start of your next turn. You can effectively flank with yourself and with multiple allies when using this feat.

Dimensional Agility allows you to flank with yourself, but nowhere in its text does allow you to count as two people, therefore, you can't gain the benefits of that teamwork feat by flanking with yourself.