This glitch puts boss remains into the inventory without immediately triggering the giant cutscene, allowing Link to die or void out to leave the dungeon and skip the remains cutscene entirely. While the boss remains do count towards playing Oath to Order to stop the moon, Remains Escape (RE) does not clear the dungeon's area (e.g. Snowhead stays in winter after Goht Remains Escape). Both songless and ISoT/SoDT RE work because having the hookshot in Link's hands forces the game to put the remains in the inventory even when he's otherwise occupied in a pickup animation or ocarina state.
In a vacuum, songless RE is about 10s faster than SoDT RE without any pauses; each pause added to songless RE costs about 1s. ISoT RE is about 1.5s slower than SoDT RE. However, the exact comparisons will vary situationally if ISoT or SoDT needs to be played anyway, if bomb count is an issue, and potentially based on equips.
This is the faster way to perform the glitch, and it works the same way for all bosses except when Odolwa's remains are on the flower. It works on both the JP and English versions of the game.
This method of remains escape is easier to execute and is useful when either SoDT or ISoT needs to be played anyway. This method works because the remains text boxes can't trigger the giant cutscene when they're cleared during a certain part of the SoDT and ISoT cutscenes. However, closing the remains text boxes at the wrong time will crash the game unless playing on the Switch (NSO), so follow the instructions below for closing them closely. This writeup by Imbued goes over the interactions between inputs to advance the textboxes and shorten the ISoT cutscene.
One quirk of this method is that because the SoDT cutscene momentarily places Link at the origin point of the room, the trick works when the song is played anywhere in the room as long as the remains are in the center (Twinmold, sometimes Odolwa). However, while playing the song outside the blue warp will still put the remains in the inventory, it will also overwrite the ocarina with a fishing rod. So playing the song inside the blue warp as described below is usually best for speedruns; if you use this method and find that your ocarina has become a fishing rod, then you weren't far enough into the blue warp when you played the song.
This method only works on the JP version.
This method risks crashing and is not recommended over songless RE.