I think one nuance that empasizes his point is that within millions of years, and likely much sooner (as we are already rather 'overdue'), there will almost certainly be another genuine mass extinction event that will once again strip most life from this planet.

The notion of rates is also quite a bit more contentious than many appreciate. The extremely high rates in modern times are based on modeling with rather debated assumptions. This is how you get claims of hundreds of extinctions per day even though there have only been about 800 'verified' extinctions in the past 400 years [1]. And, notably, a number of those verified extinct species ended up showing up elsewhere later on!

[1] - https://e360.yale.edu/features/global_extinction_rates_why_d...