That would be bizarre and completely at odds with what I know of human nature. Do you have a source?
The deforestation was almost certainly caused by the Polynesian rat, as archeological research has shown that the same type of deforestation happened on other islands where rats where accidentally introduced, but not on settled islands where there were no signs of rats having been introduced. I believe Diamond (or maybe it was Heyerdahl) claims the settlers chopped down the forest in order to make rolling logs for transporting statues, but we now know that statues were transported by "walking" them using ropes [2].
As a pop-sci counterpart to "Collapse", I recommend the podcast The Fall of Civilization's episode on Easter Island [3], which includes this newer research. The podcast is wonderful in general, and that episode is one of the best in the series.
As far I'm concerned, Diamond has a lot to answer for in perpetuating these modern myths that get repeated long after they've been debunked. His narratives catch people's interest because they are simple explanations that "make sense", and come with a kind of moral component, one of dramatic irony (the settlers were so stupid to chop down their trees, just to make these useless statues!). Diamond also wrote about Greenland and argued for the same kind of story there, despite evidence to the contrary.
There is an entire academic book [4] devoted to debunking Diamond's claims, which should tell you how annoyed real archeologists, anthropologists, and historians are with his books.
[1] https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2042672
[2] https://youtu.be/YpNuh-J5IgE?si=arekVaU6AnwEvQwY
[3] https://open.spotify.com/episode/0pGCsvdjo344EQ2dALE6dD?si=6...
Reminds me of the history of what happened to Rapa Nui (Easter Island) after all the trees had been cut down and the ecosystem significantly modified by human presence. The whole island was originally forested.