The missing piece of information: the moon is not perfectly sphere shaped, the bulge has more mass, and is attracted by the earth more.

Consider what it'd mean if there were parts of the Earth that could not be seen from the moon, it would also mean those locations could never themselves see the moon.

Ignoring the orbital period implications, I think it'd be bigger news if either US or Europe, or Asia couldn't ever actually see the moon.

It may one day be, far in the future, although that's predicted to be so far off that Sol might have become a red giant by then, making the issue moot.

But only Luna is tidally locked at the moment. Terra is not, and its rotation still has a long way to slow down before it becomes so.

If you are on the near side of the moon[1], you will always see Earth see around Earth as it rotates and as the moon orbits it. You will also see it in different phases, like how we see lunar phases from Earth. If you are on the far side of the moon, you will not see Earth at all as you will always be facing away from it.

[1] The Earth does move in the moon's sky a bit. If you are on the near side but getting close to the far side, the Earth will be below the horizon sometimes.