The sun is also at a temperature of millions of degrees. At these temperatures, there is no such thing as chemical bonds, and so the rules with hydrogen from the article don't apply.
No, it's a plasma. The high pressure in the article is a way of getting to a part of the phase diagram of that particular crystal where the superconducting transition happens at a higher temperature.
The suns central pressure is 2.5*10^11 bar according to nasa.
https://en.m.wikipedia.org/wiki/Sun
https://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html