I know what you mean. But digging a bit deeper, although the word appears and sounds the same, the referent is different: in one case it's a physical construction

12. a. A flat-topped structure, normally made of stone or wood and some six or seven inches high, used, singly or as one of a series, to facilitate a person's movement from one level to another

and in the other it's a human pace:

1. a. An act of bodily motion consisting in raising the foot from the ground and bringing it down again in a fresh position; usually, an act of this kind as constituting by repetition the progressive motion... (OED2)

It could also suggest a dance step, in the context of the music dying.

In addition there is also the internal rhyme of door/more... which even Jackie would prolly make rhyme!! eg

but hey, if it doesn't work for you, there are plenty of songs to go round :)