So it would seem; though I am wary of how much we can use the FSN timeline as a reference. Kaleid Illlya was meant to be used in the 4th Holy Grail war but is younger than the FSN Ilya who participated in the 5th Grail War. So unless the Einzbern intended to have her participate while still a baby I wonder if the 4th war was actually going to start a bit later than the Fate timeline would suggest. The ease with which Irisviel sealed away Illya's memories(Kuro) shows about how well a baby participating in the war would have gone.
Granted the Einzbern aren't very good at judging the negative impact of their cheating or at winning.