As the person who introduced the name "display map", I would like to emphasise that the whole point of doing so was to be able to do dependent type theory in categories that are NOT
locally cartesian closed but "relatively" so.  In an LCCC
all maps are display maps.

see <a href=http://Paul/Taylor.EU/prafm/c8>Chapter VIII</a>
of "Practical Foundations of Mathematics" (CUP 1999)