If you use the direct rating method (e.g. Benson, 1989) in the attribution theory model regarding the human-machine relation, you do a quite smilar tha the user satisfaction in the DeLone and McLean model.
In post modern ear attribution theory and the model you referred do have some relevance since organizations need steady state despite facing market dynamics. Internal and external factors do influence in both the cases.
First, the author of the IS success model described that, the communication research (Shannon & Weaver, 1949) and the information “influence” theory (Mason, 1978) are the bases of the processional and causal concept of the model development. In detail, the concept indicated that, the user satisfaction was affected by the use and the net benefits (the human/social oriented variables) and the information, system, and the service qualities (the machine oriented variables).
Second, the attribution theory attempts to identify the causes of event or behaviour, why people do what they do.
In short, I think, despite it used the different basis theories in its development, the processional and causal model of the IS success model can be reflected in term the attribution theory, particularly in the user satisfaction issue. It is because both rationales are similar. I believe that, the issue will be an interesting idea as a research topic in particular. Of course, the next explorations are needed because the popularity status of the IS model, but the adoption, adaptation, reflection, or the combination of a model with the other models to develop the new one is common in the social science nature.