The end of time is moment, a title for a time period. However, no matter how long you stay there, the time does not change, it is never anything other then the 'end of time'. Time has no relevence there and the void outside does not change. I think Grey has the right idea. It is not like the Restaurant at the End of the Universe, which continually transports back to the exact moment, but instead it IS that moment. It would, as funi30y said, exist for all time, because it IS all time.
For all we know, the Time Devourer may be the cause of the end of time, time ends when he destroys it, and the time is never specified. He devours time so that nothing exists, and that exact moment may be preserved forever as 'the end of time'.
Now, a bend is when something changes direction. You bend your elbows, the road bends. Could the bend of time be where time changed direction?