EE Version 7.87 patch 3 and later:

Phone types are no longer shared in EE. So, these phone types will no longer show on both records. 

EE Version 7.87 patch 2 and before: 

Phone types will be shared if the following criteria are met:

  • The Same Address As checkbox is on the Reenrollment form, and was marked when filling the form out. 
  • The phone type listed in the EE tables is shareable.