FFF
BPFE is absolutely correct. And to answer your original question, Fuel injected pistons DO suffer from induction icing. It does not happen as readilly as carb icing but is there all the same. There have so far been less injected aircraft flying around historically than normally aspirated aircraft which is why we may have not seen or heard so much about it.
Icing may occur around the air intake before it occurs around the butterfly valve. The air filter clogs up with ice and blocks the air intake. I have seen several light single pistons land with ice on the filter and the pilot was unaware of it.
If you get a reduction in RPM or performance then select alternate air. It is there to select air from a different source to the air filter and from a warmer source.
Any one who thinks injected engines do not suffer from induction icing is heading for a big fall.
Stay sharp and always expect the unexpected!
MM