> I mean the deeper you go the more freezes on it and the thicker it gets?

As the article makes a point of mentioning, unlike nearly all materials, added pressure is more likely to melt ice than cause it to freeze, at least at the pressures and temperatures we're considering.

The pressure of water at 10000m (basically the deepest the oceans go) is ~100 MPa. Look at the liquid part of the phase diagram between 100 kPa and 100 MPa. See how it abnormally extends left as pressure increases to ~200 MPa?