Given a relationship on a recording which is set to "These relationships have a specific ordering", the ordering will not be used when shown on the release page.

Take for example this recording, that has an ordered list of "recording of" relationships:

https://musicbrainz.org/recording/b3cb5ada-d623-47ac-879d-ca6ac12497d2

The order is properly shown on the recording page. But when shown on the release page the ordering seems to be alphabetic instead:

https://musicbrainz.org/release/8369b96b-5dc5-4c61-bda2-c2bc15da9416