When you use an insane cross reference (<>) such as in:
<Cross references> are awesome.
which renders as:
Cross references are awesome.
it gets expanded exactly to the sane equivalent:
\x[Cross references]{magic} are alwasome
so we see that the \x magic argument gets added. It is that argument that for example adds the missing -, and removes the pluralization to find the correct ID cross-reference. For more details, see the documentation of the \x magic argument.
Like other insane constructs, insane cross references are exactly equivalent to the sane version, so you can just add other arguments after the construct, e.g.:
<Cross references>{full} are awesome.
which renders as:
which gets converted to exact the same as the sane:
\x[cross-reference]{full} are awesome.
which renders as: