I just had our team test the website link on both windows and mac and they encountered no issues in viewing the content on the website when logged off Facebook. I then tested it myself on my iPad Pro and encountered no issues.
Have you considered driving eyeballs from Facebook to the TAS Web site rather than the other way around? Once on Facebook do you retain 100% ownership of your content? Is it sponsors preferring one versus the other? Developers? I'm curious about the business case for choosing one as primary. I assume many corp. are faced with similar questions.