* They don't seem to account for adaption, in particular by humans. Before December 1903 no powered airplane had ever achieved liftoff in the history of humankind. Within about 70 years jet travel became close to ubiquitous as a means of transportation in the developed world.
* There does not seem to be much acknowledgment of uncertainty in the science behind the boundaries. I'm unqualified to make judgements about things like ocean acidification but seeing estimates presented as bald facts does not give the reader much confidence.
* They don't have much value as a rhetorical device to persuade people to care about the environment. The basic argument seems to be that we're moving out of the conditions that prevailed across the Holocene, so that must be bad. Most people find flooded basements or crop failures more persuasive.
We're torching the environment IMO but there are better ways to get people focused on that and to fix it. Restoring marshlands or changing the albedo of cities seem like a better path.
Edit: typo