To me, only the first 2 notes sound similar (i think they are the same note), the the third note sounds off tune (compared with HWT), then the rest have no similarity apart from the fact that they are both high (2 octaves above middle C i think), slow piano keys. MAYBE ES was influenced by this but i doubt it. After all, the proper song sounds nothing like HWT (HWT pretty much sounds the same all the time except for a few added chords), and of all songs, why would ES be influenced by this one? Also, the notes of the other song are just opening notes, while the HWT is complete and sounds WAY more epic.
Everything is overpowered!!!