It might be good to add it. I’m not sure where in the process it should be though. If the original person who wants the article deleted contacts the original creator of it and then moves it before there’s a discussion it might piss people off. But then if its at the end where the two possible options are moving or deleted then people might always favor moving over deleting. Even if its not the best option. So where it should be in the draft is up to you I guess.
As opposed to what? I’m not really sure what you mean. If your talking about if to discuss the deletion request on the drafts talk page or somewhere else, the draft is best (compared to say a mailing list).
If your asking who should put the {{deletion proposal}} up, the original person or the contesting them, id say the person contesting them, because they should have to say why they are contesting it on the discussion page. Whereas the person requesting the deletion already should be justifying it in the deletion request (so if they started the proposal discussion it would just be redundant). Also, it seems like a more natural path for the person doing the contesting.
I.E. 1. revert → 2. place {{delete proposal}} → 3. give rational.
Compared to 1. place deletion request → 2. receive email about being reverted → 3. login → 4. Place deletion proposal → 5. remember what your justification was and how to dispute the short revert comment → 6. Post discussion message.
Its the difference between 3 steps versus 6. Neither the person making the deletion request or the person disputing should have to jump through a bunch of hoops to it, but its clearly easier on the disputing persons side. So I think it should be on them.
Plus it stops people from 1. reverting and calling it a day 2. reverting and deciding to harass the deletion proposer on their talk page before they can start a discussion on the page of the actual article 3. The person doing the reverting talking the conversation to somewhere else inappropriate like the mailing list. All of which currently happens.