Also, it is not like folks walk down to HQ to complain.

The physical distance of the hotel from HQ would not affect how any guest actually communicates with higher-ups.

The only possible influence would be if the hotel was close enough to HQ that many Hyatt staff and suppliers are staying at the hotel while visiting HQ. In which case, I might expect the hotel to be kept up a bit more, but I wouldn't think it would translate into better upgrades and such for your random Globalist.