Do Universities make fully-remote contracts?
No doubt there is someone, somewhere, who has a fully-remote contract from a university. However, it is not something I have ever encountered, and I think it is inherently unlikely to be something any traditional university wishes to offer in the near future. A university's 'business model' is built around advertising that their campus is a better place to be than the competition's (because libraries, or labs, or equipment, or people, or sports, or...). Advertising 'fully remote' jobs would simply serve to undermine that message. In addition, having remote (and particularly overseas-remote) employees creates administrative and legal concerns that universities are not well-placed to manage.