Indoor/outdoor is determined by 3rd letter of country code CH - indoor or outdoor CHI - indoor CHO - outdoor XXX - special value where channel map in supposedly international waters/airspace is given by AP
If you really have outdoor (weatherproof) AP you must set CC3 to O and get the ETSI base 20dBm.
Probably worth mailing/calling them whether extra power is intended.
These channels (or specifically the frequency range 5250-5350 MHz) only allow the highest transmit power if TPC (Transmit Power Control) is used. Otherwise it has to be reduced by 3 dB (see section 6.1 of the document you linked).
As far as I know, TPC is not implemented, so wireless-regdb has to choose the second option.
So the answer to that is no.
Also, be aware that the selected country code is included in the beacons sent by the access point.