similar point with “ending off syndrome”: did you ever notice that when people use a bentcher for bentching, the will most ofte close the bentcher before the end, like when the get up to “yiru”.
is the end of bentching a “second class citizen” that it doesn’t deserve the kavanah of saying it from a bentcher.
Same idea: oleinu (or whatever is the end of davening for you) while walking toward the door of the shul, or finishing up the folding of you tallis or putting away your tefillin.
It’s not fair that these parts of davening/bentching should’nt get the same attention as the rest just because they are at the end.