Is it true that Ibn Abbas's interpretation of the verse, "And whoever does not judge by what Allah has revealed – then it is those who are the disbelievers," as "disbelief lesser than disbelief and wickedness lesser than wickedness," has no basis?

This narration was reported by Al-Hakim in his Mustadrak and Al-Bayhaqi in his Sunan, on the authority of Ibn Abbas, with the wording: "It is not the disbelief they are referring to; it is not a disbelief that expels one from the religion." This was in the exegesis of the verse: (And whoever does not judge by what Allah has revealed - then it is those who are the disbelievers) (Al-Ma'idah: 44). It is a disbelief lesser than disbelief (kufr duna kufr), so the narration has a basis.