It seems that every company has to have a new "twist" to their glue stick, some make the tops large, others make the tops small. If you accidently twist the wrong end of the stick and break the twistie end of glue stick off, the glue stick will not screw up and come out the top.
You will have to push the stick of glue up using a pointy screwdriver. It will come out all the way. :(
Note. using a glue stick while holding the stick by the gluey sides is not pleasant. Avoid this.