This study examines L2 speakers' accent attitudes in relation to their linguistic profile and current practices, recruiting 107 multilingual postgraduate students of 34 different nationalities enrolled in leading research universities in Japan. The participants completed a survey regarding their perceptions of different English varieties in English as a lingua franca (ELF) contexts. Interviews were additionally conducted to solicit in-depth perspectives on their accent attitudes and contextual accent variation. Factor analysis of the survey data generally supported the thematic trends observed during the interviews, in which three-quarters of the interviewees expressed a wish to attain native-like English accents. However, those who aspire to native-like pronunciation do not necessarily maintain negative attitudes towards others who speak with foreign accents. Rather, they appear indifferent to others' accents and varieties of World Englishes, and they do not associate their accents with nationhood or cultural identity. Thematic analysis of the interview data revealed that participants' pressing need to sound native-like stems from not only pragmatic considerations such as better intelligibility but also their context specificities, which entail frequent high-stakes ELF interaction and arrangements for professional entry in the imminent future. These observations imply that a linguistic hierarchy still lingers in the World Englishes paradigm.