In this response to Erlewine & Gould ( 2016), we argue that an account of internally-headed relative clauses using Inverse Trace Conversion and the maximal informativeness semantics for definites of von Fintel et al. ( 2014) does not derive the observed interpretations when the internal head is quantified by certain downward entailing quantifiers and derives no interpretation at all for non-monotonic and some upward entailing quantifiers. We then argue that the cases that Erlewine & Gould ( 2016) claim to be a newly identified interpretation of internally-headed relatives are actually headless relatives.