Lyric theatre - what does the "H" stand for?

Our family saw Cursed Child last week (fantastic!). The renovated Lyric theater is beautiful. The letter "H" is an integral part of the theater design - it is in the carpeting, the wallpaper, and at times displayed on the pre-show screen onstage. Our family is split on it's meaning......Harry? Hogwarts? Help!!

I believe it's mainly supposed to stand for Hogwarts, but I guess the fact that it could also stand for "Harry" gives a kind of added layer of significance. But the H seems to me to be clear nod to the Hogwarts logo (see below. Also, part of the re-design of the theatre was supposed to give it a more "Hogwarts" kind of vibe, which the theatre in London also has.