I think I may have posted this before but here goes.....
If you are fortunate to go into the STHYC on south Pier, look at the Admiralty Chart dated about 1840.
The site clearly shows an Hotel, one of about three listed.
I think considering that there have been a few carbuncles built, and houses, since then, that this is a reasonable ground for something to be allowed there.
The reason I put this argument is that if Planning are "allowed" to extinguish very long standing buildings, then it creates an authority for them, in the future to knock YOUR house down, because somebody else wants to put it back to nature.