You bolded the part that is wrong. A battle rifle is not an assault rifle and an assault rifle is not a battle rifle.
Also, a battle rifle does not require select fire. The argument that "the older ones didn't have select fire" is pretty much moot, because the FN FAL is a select fire battle rifle and the british used the L1A1 variant which was stripped down of it's full auto capability.
At most, assault rifles derive from battle rifles, not the opposite. Like 2x is a derivation from x^2 and not the opposite.
Abandon4093 said:
a battle rifle is just a select fire assault rifle
To be an assault rifle, a weapon needs select fire anyway. Only battle rifles are exempt from that restriction. Which means that no matter what, if you upgrade an assault rifle to battle rifle status you can't really introduce full auto/burst fire because it is already there.
Even semantics are against your post. Assault rifles were intended to "storm"/"assault" enemy positions in closer ranges.
So I accept you are not incorrect, but you can't argue that your post is worded right.