Yes. It's not that they're immune from icing, it's that they're less prone to it.
They benefit from:
* no venturi
* no fuel evaporation at/near the venturi
* no fuel evaporation from an idle jet at the throttle butterfly restriction (I hesitate to call it a venturi).
All these things add up to reduce the likelyhood.
I think that FFF's question is resolved by the 3rd item I listed. Whilst both carby & injected intakes have a butterfly valve causing a restriction, only the carby design also has fuel evaporation in the restriction.