Devoted Muse Deeds ability and Gunslinger

[willuwontu]

Devoted Muse wrote:

Deeds (Ex)

This ability functions exactly as the swashbuckler ability of the same name with two exceptions.

First, the devoted muse qualifies for and benefits from deeds as if she were a swashbuckler 3 levels lower than her class level (minimum 1). Second, the devoted muse doesn’t gain the opportune parry and riposte deed until 4th level.

For the purpose of this ability, a devoted muse’s class levels otherwise stack with levels in any other class that grants the deeds ability.

So with this ability the following would appear to be true

1.) A gunslinger 5/ Devoted Muse 2 would count as Gunslinger 7 for the purposes of the deeds it receives (and thus get the Dead Shot, Targeting, and Startling Shot deeds).

2.) A gunslinger 5/ Devoted Muse 2 would count as Swashbuckler 7 for the purposes of the deeds it receives (and thus get Derring Do, Dodging Panache, Opportune Parry and Riposte, Kip-up, Menacing Swordplay, Precise Strike, Swashbuckler's Initiative, Swashbucklers' Grace, Superior Feint, and targeted Strike).

Is this correct?