Well, the only way to find out will be to try it both ways. No rum can go first.

[The gentle swaying of the ship is just a whole new adventure with Cynric's broken rudder trying to direct them. Horatio finally juts out his free hand to clasp one of the doorframes they're passing, tugging the bard carefully towards it.]

Here we are, would you please open the door for me? It's not locked.

[He only asks on account of currently having his arms currently full of Cynric and doorframe.]