 Demonstratives such as ‘that’ raise similar issues as indexicals. So also do noun phrases like ‘that flower you just picked’ (see King 2001, chap 2, for discussion). As Wolter (2009, p. 457) observes, “there is not yet consensus” about which such expressions “allow non-rigid interpretations and which do not,” but it is standard to hold some to be rigid (Nowak 2019).