Both lines come off together. We removed the 13 mm bolt that holds the lines in place, and then gently jiggled the lines at that attachment point, while pulling them away from the transmission.
Below is a picture of the lines’ mounting point, with the bolt removed.
Here is a close-up:
There is also a bracket that keeps the lines in position right by the transmission bell-housing, but the bolt that keeps that bracket in place will have been removed as part of separating the transmission from the engine:
Here’s a close-up:
Removing the lines no sooner was a cleanliness issue because we first wanted to have the transmission clean, elevated to hip height on a transmission stand, and in a clean environment, to minimize the risk of dirt getting into the transmission or the lines.
Removing the lines no later was a safety issue because with this part removed, it was easier to move around the transmission, and we were less likely to be poked in the eye.
Here is a picture of what the lines look like, removed:
Here’s a close-up of the radiator end:
Here’s are some close-ups of the transmission end: