Possibly, but they don't apply to today's world
I'm reasonably sure, without having read the book but having looked at summaries online, that Dauvillier was arguing that the conditions on Earth when life first developed were such that life would not have developed if the Earth were 2 C warmer.
First of all, you would need to specify from what baseline the 2 C rise was measured. There are many times in the past where the Earth was at least 2 C warmer than the present and covered in advanced life (possibly up to 10 C warmer at time during the Mesozoic). NOAA suggests that parts of the Neoproterzoic saw global temperatures of 90 F and up, and of course life managed to persist through that.
Since his book is about biogenesis in general, there isn't much comparison to the conditions on Earth today. On that early Earth where life developed, the sun was much weaker (a paradox not completely resolved). There was no oxygen and much more carbon dioxide, ammonia, and/or methane, depending on who you ask. There were also (obviously) no photosythesizing plants and no biological component to the carbon cycle.
Life has profoundly changed how the Earth is. The atmospheric dynamics of the early Earth are not comparable to those of our Earth, and thus a 2 C rise then has almost nothing to do with a 2 C rise now.
Again, I haven't read the book so I can't asses what specific theories Dauvillier made about the early Earth. However, it could be possible that both things are true: a 2 C rise 4.5 billion years ago would have sterilized the Earth forever, and a 2 C rise today would not.