It is not the same as the EU firmware is dated: 2010/01/14 - with HNAP security patch.
1.33NA is dated: 2009/12/22 what is before HNAP problem was made public.
NA firmware could be more compared with the previous 1.31b01 from the change log.
Here are both chklst.txt:
Firmware Version: ver1.31EUb02Beta
Firmware Date: 2010/01/14
ipVersion(Date): 7.6.1b0158 (2010, Jan 11)
ipOS SDK Version: 7.6.3 P (1134)
WAN MAC: 00:26:5A:B8:69:1F
LAN MAC: 00:26:5A:B8:69:1E
WLAN MAC: 00:26:5A:B8:69:1E
Wireless Region: 0x09
SSID: DIR655A5
SubVendorDeviceID: 0x0
Wireless Domain: 0xFFFF
Firmware Notify URL: http://wrpd.dlink.com.tw/router/firmware/query.asp?model=DIR-655_AX_EU
Firmware Global URL: http://wrpd.dlink.com.tw/router/firmware/DIR-655/Ax/EU/DIR655A4_FW121EUb05.bin
Checksum: 0x0435D18F
Use non DFS channel only: Enabled
This version is Release version
USB_IP/K=Enable Version 0.99
USB_IP/S=Disable
WLAN 0 Channel List: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
HW Ver: A4
Firmware Version: ver1.33NAb01
Firmware Date: 2009/12/22
ipVersion(Date): 7.6.1b0156 (2009, Dec 22)
ipOS SDK Version: 7.6.3 P (1134)
WAN MAC: 00:19:5B:51:DB:7C
LAN MAC: 00:19:5B:51:DB:7B
WLAN MAC: 00:19:5B:51:DB:7B
Wireless Region: 0x09
SSID: DIR6XXN
SubVendorDeviceID: 0x2071
Wireless Domain: 0x30
Firmware Notify URL: http://wrpd.dlink.com.tw/router/firmware/query.asp?model=DIR-655_AX_NA
Firmware Global URL: http://www.dlink.com.tw
Checksum: 0x03FBE715
Use non DFS channel only: Enabled
This version is Release version
USB_IP/K=Disable
USB_IP/S=Enable Version 1.1.1
WLAN 0 Channel List: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
HW Ver: A1/A2