Indeed. We must remember that "
the ring was trying to return to its master". And that "a great deal of
Sauron's power was put into the ring." So much so that at its destruction, Sauron became, essentially, nothingness.
Therefore, the ring of itself made many of its own 'decisions' as it were...who it would choose, how it would return, etc.
In such a case, the range for our speculation increases exponentially with no clear answer possible.
As
Tolkien himself once responded when he was asked a particular recurring question in an interview - one for whcih there is no reasonable answer other than pure speculation - according to the reporter, his response to the question and questioner, after some thought, was simply - "shut up". (He was quite tired of that particular question..!!)