There's nothing on the article about thermal expansion and heat coefficient. So I'm assuming in both states they are the same.
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.
I just realized you're forgetting a huge class of life -- soil organisms. Compost heaps contain the most diversity of life when "cooked" between 55C and 65C.
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.