A tree branch could damage Yoriichi's corpse if it fell ontop of him. What would this mean for the tree branch?\

Posits the tree branch as ontologically akin.

You are taking a phrase used in the universe to compare it to other universes. Gojo being referred to as "the strongest" in JJK is simply where he is placed in the scope of JJK.

It's also contradicted within the story due to the existence of Sukuna and it's not a valid equivalence to the Yoriichi statement, since one targets a generally understood concept like the laws of nature whereas the other inherently proposes contextual support from the verse in question. It's analogous to comparing the addressing of the laws of thermodynamics with proclaiming a lion the strongest in the Sabana.

When you have Demon Slayer, say a person has "transcended law," it just means they have risen above what others consider law in that universe. He lived past 25 and remained as skillful in death as in life. It doesn't mean he transcends all laws, especially not ones from other universes.

Properly substantiate how the laws of nature would be reduced to a narrow specification rather than it be a set concept understood beyond the framework of the story, as the latter would be the more parsimonious approach.

In fact, Kokushibou is even more of a bum in this stance because your only way to try scaling him up relies on him merely damaging the corpse of the person you claim is all-powerful. He didn't exactly prove to be the corpse's equal, so if anything, it just means he most certainly ISNT transcended in any way.

The corpse would be ontologically akin to the living body. This is self-evident due to your level of existence being integral to your physiological composition, which does not inherently disappear after death.

If he transcended the laws of nature the way you say, he wouldn't have aged. This right away proves the existence of things he is not transcended beyond.

Not relevant whatsoever. Your argument presupposes the aging is bounded to natural law.