They've likely just released a new update without updating the one on their support page.Usually Windows gets the correct ones, but just to be safe I'd wait til Asus updates their site with the correct version. If there is an update for your specific device available it will download, restart, and install immediately.Whatever you do just don't rely on windows itself to do the work.
More importantly, OP should read changelogs on website and ascertain if it is really necessary to upgrade anyway e.g. Don't install BIOS update unless it's necessary.
if upgrade fixes an issue not relevant to OP, then upgrading may not be important i.e. If there's newer version available, check its changelog.
It’s not always necessary to update BIOS on ASUS laptops or desktops unless you have a reason to, like fixing bugs, improving system stability.
Here we will show you how to update BIOS ASUS motherboard for Windows 7/8/10. Check your ASUS PC system information before update BIOS version on motherboard.
The variable differs for each laptop, so there is no general solution.
Also, flashing the modded BIOS using Intel ME System Tools doesn't guarantee success flashing. Then I revived it by using CH341 programmer, and SOIC8 test clip to program the chip directly, without desoldering.
At least using the official tools (Ez Flash, Win Flash).
The longer answer : Basically, I can flash using Intel ME System Tools, after disabling the write protection first using GRUB shell.
Again, this differs for every laptop, but most (if not all ASUS laptop) uses Winbond chip.