Does a Chaotic Neutral Sacred Fist get Lawful Ki strikes?

[gyrfalcon]

Sacred Fist wrote:

At 7th level, the sacred fist gains a ki pool. This functions as the monk class feature, using the sacred fist's level – 3 as his monk level when determining the number of points in his pool and bonuses granted to his unarmed strike.

and

monk wrote:

At 10th level, his unarmed attacks are also treated as lawful weapons for the purpose of overcoming damage reduction.

Seems like RAW a Sacred Fist gets Lawful ki strikes (even if she's Chaotic). True?

[Nocte ex Mortis]

Yup.