I said nothing about piston engines not having carburetors. Where did you get the idea that I said any such thing?
What on earth is a "UK AIP?"
Your question was answered. You appear to have a comprehension problem.
You stated:
However, most references say that icing in the intake duct cannot, or does not, occur with fuel injection sysytems
Again I ask which reference states that icing in the "intake duct" cannot or does not occur in fuel injected systems?
I've never seen such a statement. In fact, induction systems using injection systems are required to have an alternate air source precisely because induction ice can occur.
Just as importantly, as already noted, injection has nothing to do with induction icing. One may not get carburetor icing, but other forms of induction ice exist, as previously outlined for you.
What part don't you understand?