"This raises the question of whether temperature-driven structural changes in water affect biological macromolecules in aqueous solutions and in particular in proteins... It was found that the temperature stability range of the protein is confined to the reversible interval 45–65°C. ... In all cases the critical temperature of the protein denaturation is very close to the crossover temperature T* observed in all the properties of liquid water reviewed in this work."
This is probably why sous vide temperature is around 60C.
The more interesting thing this finding has to offer is just understanding at a finer detail how proteins interact with water at all, and if there are any properties specific to each state. There might even be cool things like proteins that switch function given the water phase transition. You might find this sort of thing in chaperones related to heat shock for example.
But why are sauna temperatures above this, being in the range of 70C-90C?
Being submerged into a 90 degree water bath will probably rapidly hideously wound you and/or kill you.
They show two graphs of protein denaturation curves showing maximum rate change in 50-65 degree range, and a curve of a different protein's hydration shell density changing. At the very least, showing correspondence between hydration shell density and denature curves within a single protein would be significantly more convincing.
While protein folding and interaction is devilishy tricky to compute, the basic idea that injecting extra energy into a system thats held together only by weak hydrogen bonds will disrupt structure and function hardly requires invocation of additional forms of water.
This isn't to say that the claims may not be true. But I would not jump to "probably".
In fact, your quoted statement doesn't even say that proteins become less stable, what the quoted statement says is that a SINGLE protein (lysozyme) undergoes irreversible structural changes over 65 degrees.
We know of a variety of high temperature resistant proteins (Taq Polymerase for example). While is certainly true that most "ordinary" (ie non extremopile) proteins will probably suffer irreversible structural changes in about that temperature change, it's not super great proof.