It is more interesting to know who created something than who is being paid royalties for it. The relationships are “written” and “composed” not "royalties paid to"
I go by booklets, not payments. Will usually focus on the original release booklet and not the greatest hits reissue. Will aim at the artist name as they use them at the time in the booklet as a legal name often looks odd.
I also see this as artist choice over legal choices. Often those payment things are setup by the legal team.
I have a few releases where the first releases gave the actual writers. Then the reissues changes the credits to the band for payment reasons. These I still try and keep to who actually wrote it, not who is being paid. Annotations also come into play there.
As to a legal argument to add a credit. A good example there would be Dark Side of the Moon and Great Gig in the Sky has now added Clare Torry to the credits for the part she played in the creation of the track.