I've enjoyed ainternational's description of the "intangible qualities" described in the very first paragraph in this thread (the one where the OP admits that s/he would hesitate to recommend a Prince Hotel).
If the stay had been one night in Akasaka it might have been a memorable experience (just like it is for the many thousands who visit Sweden's Ice Hotel) but I can see why the decision was made to hop over to the Hilton.
I once had a stay lined up at this Hotel but realised in time I'd feel the same way as ainternational did and chose somewhere else.
There were articles in the press about a year ago (some mentioned in this forum) about how this hotel, which had only just closed/or was just about to, would be used as a temporary shelter for evacuees from further North. I've no idea what the outcome was.
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To maintain the "appreciation" level of this thread it might be worth noting that a former head of the RIBA really rated the (now closed) Roppongi Prince. It was his favourite hotel.
I personally regret never staying there but I think I would have had the proper appreciation for this Prince Hotel if the stay had been a very short one.