Before revision:  More generally, while we prove that dropping the genericity assumption does not change the relation between Point Rationalizability and URLers Rationalizability, we show that Wald and URLers Rationalizability are not comparable in their behavioral implications, and we shed light on why this difference emerges.
After revision:  More generally, while we prove that dropping the (implicit) assumption that whatever a player believes is also true allows to capture wishful thinking \`a la Yildiz (2007), thus reversing an existence failure described therein; (ii) by studying how pessimism and optimism relate to URLers dominance, we shed light on why this difference emerges.