  This short note serves an addendum to the article "Destruction of very simple
trees" by Fill, Kapur and Panholzer (2004). Therein, the limit law of one-sided
tree destruction with a toll function was determined by its moment sequence. We
add an identification of the limit law, using recent results of Bertoin (2022),
in terms of the local time of a noise reinforced Bessel process.
