You are on the right track, but try starting at the outside and count the chains of 1's as you go in.

Something like
spiralize(7) => 7, 6, 6, 4, 4, 2, 2, 0

The pattern I see initially is the following:

(each # is the length of 1's & 0's alternating)
spiralize(5) === 5 -> 4 -> 4 -> 1 -> 2 -> 3 -> 6
spiralize(10) === 10 -> 9 -> 9 -> 1 -> 2 -> 6 -> 1 -> 1 -> 2 -> 1 -> 4 -> 1 -> 1 -> 1 -> ......

I don't understand the desired pattern, nor is the description helpful in any way.

Can someone please explain the desired pattern more clearly, either the author or someone else as a comment?

This kata has sample tests in which only one function is ever (un)subscribed to, but the behind-the-scenes tests imply that more than one function can be subscribed to at a given moment. Without understanding the structure of how multiple handlers are dealt with (held in an array/obj, constantly adding new 'fn' props, etc), it is impossible to guess how this must be implemented.

Please reword your description to account for this confusion regarding multiple/single handlers (the syntax of some sentences is also confusing).