[scarface74]

From the best I can tell, it was always referred to as Integer Basic and never “Apple Basic”.

https://en.wikipedia.org/wiki/Integer_BASIC

I do know that it was referred to that as far back as 1980. I’ve never seen a reference to it as “Apple Basic” and I had an Apple //e in 1986.

[flomo]

AppleSoft (MS) BASIC came out very early in Apple II lifecycle, and prior to that there would have been no reason to call the original BASIC anything other than BASIC. Afterwards, of course, all the documentation and commands were updated.

Woz originally called it "Game BASIC", some history at this page: http://woz.org/letters/apple-basic/