This paper presents an evaluation method, along with the underlying theory, for assessing interactive systems and specifying their quality in terms of universal access. The method is an adaptation of traditional walkthroughs and is aimed to incorporate user diversity, for example in terms of individual abilities, skills, background, levels of expertise, equipment used, etc., as key input to evaluation. The method aims at addressing as many as possible of the qualities of a system that might affect diverse users throughout their usage of the system and which, ultimately, have an impact on the system's wide acceptance. The proposed method, described here, extends the cognitive walkthrough method by introducing a simulation of the users' reasoned action process in order to assess whether users can, and will be, in favour of accessing, exploring, utilising and, ultimately, adopting a system. Additionally, the method allows considering in the assessment process various aspects of diversity among target users and use conditions, rather than assessing for the so-called average user, aiming at incorporating accessibility, usability and acceptance as intrinsic measurements. Finally, the paper presents ORIENT, a prototype inspection tool developed as a means to further facilitate experts in conducting such walkthroughs in practice, and which offers step-by-step guidance throughout the process until final reporting. Preliminary experiences with the application of the method in the domain of e-Services are also discussed.