I don't know if this is common knowledge or not, but PS4 is definitively faster for Second Run than PC because you don't need to take the camera to the lobby near the end, you just pick up the Press Pass and run straight to the toilet. I'm the only guy running PS4 regularly right now so I don't know if it demands some category shifts, but all I know is that I got sub 4 with far less optimal movement than Seij. I'm not complaining but I don't know if it's entirely fair. This difference stands to save around 5-7 seconds from where I'm looking.

As a setup, I start on the tile directly above the stairs once you're inside. From there take five steps to the right (listen for the audio of the walk cycle, there's a reason dark caves have no music), and then swing upward. Hopefully you'll hear the jar break and even more hopefully you'll be lined up perfectly to just hold up and hit the snake directly above it. Sometimes the five steps doesn't always work, so I like to be a little to the left of the center of the stairs when I start, because sometimes I'll overshoot it. Once you hit the snake though, it's as easy as holding up and right simultaneously until you can see yourself again. It takes a little practice, but if you can find a setup that works for you for lining up with the pot, the rest will fall into place without much issue.