Edo Madara was playing around with them, so the battle wasn't even serious. Even if you want to argue that he was attempting to use genjutsu on them, which there was no clear indication that that was his goal since he only explicitly wanted to catch Ay, in that battle scenario, everyone was all over the place and a eye contact meeting point was super difficult since attention and focus could not be concentrated well considering that everyone's physical positions and angles and movements hindered Madara from gazing at them. Tsunade has the slowest reaction and movement speed out of all of them, yet Madara never tried to catch and put her in genjutsu despite how it easy it would have been.
In the summoning case, Manda and Gambunta are so huge with majorly blatantly gargantuan eyes that it would be an easy genjutsu catch for Itachi.
Gokage and summoning same-same comparisons in terms of the ability to snare one in genjutsu is invalid since there's a grand size and competence difference.
What point are you trying to make with Sasuke breaking Tsukuyomi and possessing genjutsu strength? Itachi's genjutsu prowess eclipses Sasuke's by a landslide.
How does Manda avoid eye contact when his eyes are so huge?
Orochimaru already insinuated five times that nothing in his arsenal can defeat Itachi. Orochimaru was only subjected to his 3T genjutsu after making all the inferiority statements. His last inferiority statement was when he was met with Susano'o but everything prior, Orochimaru had no knowledge of his Susano'o, implying that genjutsu would be his downfall.
All your points rely on conclusions you've already reached which are easily questionable, so you actually got nothing concrete, but I'll play along
[Everything Madara says is true . . . ]
He explictly wanted to beat Tsunade first, so clearly genjutsu is either difficult or not a GG move. Well, you didn't count that statemenr as meaningful so you're not even being consistent with your own misguided premise.
[Big eyes are easier to catch]
Senjutsu sensing. Also, why doesn't big body also equal big chakra system that is difficult to control? Again, not only a faulty premise but inconsistency.
[Oh, so now size matters? ]
Skill . . . Also, your previous point was about size making summons weaker, somehow, so you can't swing in the opposite direction.
[The summon has to avoid eye contact]
Itachi is the one who must catch their eyes, specifically their visual focus. So it's a matter of how he, puny target, gets them to look at his eyes directly when they really don't even have to, with their huge techniques making only his rough position necesary to know
[inferiority statements are the Bees Knees]
Context of wanting to take his body, not kill him. Attacked with glee when that was out of the way. Also, why not take what Itachi said about Orochimaru being dangerous despite his own ET status and Sasuke having EMS being there seriously? So again, not only a faulty premise but inconsistent usage of it.
You get why I'm frustrated with you? If you don't, genuinely do not reply. You need not be a debating specialist, although I can easily tell you're way better than this trash you presented me, you just need to respect others enough to not insult their intelligence with contradictions in your own post.