It makes me wonder what the pressure dependence is for this phase change. http://www1.lsbu.ac.uk/water/water_phase_diagram.html
Pressures inside a particular piece of cellular machinery can be much higher than 0.1 MPa (1 bar).
If so, there is really no reason to expect this state change to be much affected by pressure.
There also seems to be no latent heat absorbing¹, and from the widely varying changing temperature, I imagine both states coexist on those ~20°C. Water is really weird.
1 - Otherwise people would have discovered this long ago.
> In addition, Raman scattering measurements, obtained using multivariate curve resolution (Raman-MCR) have been used to explore the hydrophobic hydration of linear alcohols from methanol to heptanol [25]. The authors conclude that below 60°C the hydration shells have a hydrophobic-enhanced water structure with a greater tetrahedral order and fewer weak hydrogen bonds than the surrounding bulk water. This configuration disappears above 60°C and is replaced by a structure with weaker bonds. These findings support the existence of two different hydration shells in liquid water with a crossover temperature of ≈60°C.
So it seems that proteins have evolved to stabilize the "ice-like" structure in hydration shells, and in turn depend on those hydration shells to stabilize their 3D structure. Above 50-60°C, that doesn't work. But there are some Archaea that do quite well at 100°C. Their proteins presumably do a better job of stabilizing the "ice-like" structure in hydration shells.