I wonder whether it would be useful to distinguish between the Lyceum as an institutional model for the Lyceum, versus Aristotelian scholarship as a model for Alexandrian scholarship? John Lynch convincingly argues that the Lyceum should not be viewed as the institutional model for the Alexandrian Museum in his 1972 monograph Aristotle’s School (Lynch, J. 1972. Aristotle’s School: A Study of a Greek Educational Institution. Berkeley. See pages121–123). But I think you’re right to push back against the claim that there was no intellectual relationship whatsoever between Aristotelian scholarship and Alexandrian scholarship.
Some recent discussions of the issue can be found at:
– Montana, F. 2015. “Hellenistic Scholarship.” In Brill’s Companion to Ancient Greek Scholarship, ed. F. Montanari et al., 60–183. Leiden. (See pages 77–79)
– Hunter, R. 2017. “Hellenistic Poetry and the Archaeology of Leisure.” In Muße, otium, σχολή in den Gattungen der antiken Literatur, ed. B. Zimmermann et al., 21–36. Freiburg. (See pages 31–32 especially)