From the NAVY's waiver guide. Not surprisingly more restrictive than the USAF Waiver Guide a 747pg document. Bottom line, waivers not granted for USN/USMC but looks like they are for USAF Class I,II,III aviators

Caveat: The Navy may be more restrictive for shipboard operations and any SNA from day one of flight school is eligible for shipboard operations regardless.

12.4 DEFECTIVE DEPTH PERCEPTION
AEROMEDICAL CONCERNS: Although many visual cues regarding the relative positions of objects in space (depth perception) are monocular. The binocular visual reflex of stereopsis is an important indicator of normal visual acuity in each eye, with normal ocular alignment and normal binocular visual development. Defective stereopsis may make certain piloting duties such as formation flying and aerial refueling more difficult.
WAIVER: No waivers shall be recommended for any candidate or designated Class I duty involving actual control of aircraft. Class II and III personnel must meet standards for depth perception except when remarked as "not required" under types of aviation duty specified under MANMED Articles 15-87 through 15-99.
INFORMATION REQUIRED:

1. Valid tests of stereopsis include:
Armed Forces Vision Tester (AFVT)
Verhoeff Stereoptor
Stereoacuity Plates used with polarized viewers such as the Stereo Optical or Titmus Optical Stereo Fly or Randot. A randomized version of these tests may be used if the examiner deems it necessary.

2. Although the devices test stereopsis at optical infinity, intermediate or near distance-respectively, a pass of any one test meets the stereopsis standard. The tests must be administered and results recorded as specified in MANMED and elsewhere in the ARWG.

3. Recent loss of stereopsis in a designated Class I naval aviator is usually due to a change in refraction or onset of presbyopia, but may also be a sign of cataract, macular or optic nerve disease or new motility disturbance.

4. New failures to meet the stereopsis standard must be evaluated by an ophthalmologist including completion of the ocular motility worksheet as specified by the attached instructions found elsewhere in the ARWG.

TREATMENT: Correct any underlying refractive error or eye disease.
DISCUSSION: Defective stereopsis is typically innate and due to abnormal visual development prior to the age of 9. Causes of defective stereopsis include abnormal ocular muscle balance, amblyopia, anisometropia, microtropia, and monofixation syndrome.
ICD-9 CODES:
368.33 Defective Depth Perception