i've always thought they were all called "magic keyboard'
a while ago i realized i had the 'wireless keyboard' from apple
on their website archives(?) i found a firmware 1.0 update for the 2009 aluminum keyboard
not only that, there is a 1.1 firmware update for the aluminum keyboard....maybe those aren't wireless (or magic).
finally, there is a 2.0 firmware update to the 'wireless keyboard'.
i've been having problems with connecting/reconnecting/disconnecting so i'm going to give one or all of these a try on my mid 2015 macbook pro with an old-ish wireless keyboard
another thing i've stumbled upon and then went down the rabbit hole was the possible effects of usb 3.0 ports and peripheries creating enough interference for the frequencies used for bluetooth devices
ironically, they did come out with a firmware update for the 'magic keyboard' and other magic stuff on jan 9 of this year and it is supposed to be automatic update 2.0.6
in that linked article is another link to take you to the apple site in which there is no download link so, i guess my stuff isn't magic
Apple security releases - Apple Support
scroll down and you can see all the security updates over the years staring with the most recent