The instructions given by ASUS at the BIOS update page are there for the user to enable read/write access on the ME region of the SPI (recovery jumper) and to disable the ME during reflashing (removal of DIMM from Slot A1, old trick to disable the ME because it cannot access the UMA memory that it needs). These steps are not needed when using FWUpdate tool, only to update/repair the ME region via software flashers such Flash Programming Tool, AFU or whatever ASUS uses. After updating/reflashing via FPT, AFU etc, the user needs to set back the jumper and repopulate the A1 DIMM Slot for the ME to be operational once again. The "ME in recovery state" that user was getting was probably because he didn't set the jumper back or he had no DIMM at slot A1 for some reason. So you shouldn't expect that the same thing will happen to you. Generally, the best way to protect yourself is to keep a backup of the BIOS/SPI chip which can be done after setting the recovery jumper only.

I cannot understand what you mean by "AMT tool".

That is called MEBx and it doesn't follow the same version scheme as actual ME firmware or ME tools so you are good to go.