Per DoDI 4515.13, January 22, 2016 Change 6, March 2, 2022, Table 3, dependents of authorised Reserve and dependents of Reserve members entitled to retired pay at age 60 (i.e., “gray area retirees) may accompany their sponsor when traveling in the CONUS or directly between the CONUS and Alaska, Hawaii, Puerto Rico, the U.S. Virgin Islands, Guam, and American Samoa (Guam and American Samoa travelers may transit Hawaii or Alaska); or traveling within Alaska, Hawaii, Puerto Rico or the U.S. Virgin Islands.
If the reserve dependent's sponsor becomes activated for more than 30 days then the typical answer of "No" changes to "Yes" and the dependent has all the Space-A privileges of an Active Duty Dependent accompanied by their sponsor on ordinary leave (except dependents cannot travel unaccompanied under the Command or non-command sponsored travel programs). IMPORTANT! - Make sure all dependents of an activated Guard/Reserve Member update their ID Cards to a regular DD Form 1173 (United States Uniformed Services Identification and Privilege Card) versus the DD Form 1173-1 issued to Guard and Reserve dependents!