Attempts to reproduce theoretically the width Γ d * = 80 ± 10 MeV of the I(J P ) = 0(3 + ) d * (2380) dibaryon resonance established by the WASA-at-COSY Collaboration are discussed. The validity of associating the d * (2380) in quark-based models exclusively with a tightly bound ∆∆ configuration is questioned. The d * (2380) width and decay branching ratios into NNππ, NNπ and NN final states are studied within the Gal-Garcilazo hadronic model in which the d * (2380) is a πN∆ resonance embedded in the NNππ continuum some 80 MeV below the ∆∆ threshold. In particular, predictions are made for the branching ratios of the unobserved yet d * (2380) → NNπ decays which are suppressed in a purely-∆∆ dibaryon model. Comments are also made on a possible connection of the ABC effect observed in the pn → d * → dπ 0 π 0 resonance reaction to the d * (2380) dibaryon.