I know I am not the record holder but after intense analysis of the WR Die% run on speedrun.com and by running it a few times myself I discovered a few potential time saves that could potentially take the record down to 13:5-13:10 with good execution.
Start the run and spam + relatively fast, then press A about a quarter of a second before the text that shows that you can click off the box appears, go right immediately, shake the tree as fast as possible, and turn around and go around the shore as close to the bushes as possible without hitting them, climb the vines quickly and then pray that rng doesn't suck, drag vines down fast and once you have 3 press - then A to exit the minigame without picking all the vines, pick up the vine next to the tree then step down and go far left once again very close to the bushes without touching. Step up the edges, push down the log and step down, sleep then shake the tree to the south-west area from the base area, run to where you pushed down the log and go down and snag the driftwood and run forward and go to the vines again and climb then step down the steps and go to the raft and build the first step, I think ive managed to skip the text box between the building segments by walking forward and pressing A at the right time, complete the second segment and raft quickly without hitting the sides, skip all the cutscenes by spamming + and follow lucy while staying relatively close to the inner edges, make the fire at the camp then sleep and run out alone and jump the rocks then run towards the northern exit, walk through (yet again far inward) then climb the edges then climb the edge as far west on it ass possible, hold the control stick at around an 8 o´clock position and if you´re lucky you will get up the next rock at the edge saving a bit of time. then run up to the boar area and get up fast, stand in front of the boar about a meter to two away, when it hits you get up quickly and reset your position, repeat until death.
This strategy is the record holder´s strat and I've modified it a bit, it has the potential to be the new record strat. however, if you have any better strats then you can communicate them to me on the survival kids and lost in blue discord server, my @ is Jujube1000#1437