Let me preface this statement by saying that in terms of base kit, I believe they are equal. Both are excellent power controllers, both have a similar rotation, and niche pieces of utility.
However, as with life, timing in MCOC is everything.
Here is why IIF fails to control the fights that Doom dominates:
IIF:

Doom:

Whether you put it down to 1 millimeter of spacing or 1 millisecond of latency, it’s just enough for the AI to consistently intercept you. Doesn’t happen with Doom.