So, Meredith was attacked anytime before 10:13 and died "around 10:15". What's the problem?
Let's reference your initial statement which started this entire discussion:
Still not seeing what the disagreement is. What is the dishonesty in that argument that Galati is going to use to establish a later TOD of 11:30?
Exactly. Galati is not so much defending the TOD of 11:30pm from the first trial I think. Remember, even the prosecution during the appeal stated that the phones were in the hands of the attackers by 10:13pm IIRC. So they seem to have come off that late TOD a bit. He is objecting to the logic (or lack of) of the Appeal Court.
Time of death of Meredith Kercher. deficiency or manifest illogicality of the reasoning in contrast to the other court documents of the case. [Article 606 paragraph 1(e) Criminal Procedure Code]
The Skype Call
I agree that this isn't the strongest part. He could have mentioned a few other things. One sentence that was specifically mentioned in Rudy's SC Sentencing Report was:
One significant sentence pronounced by Guede to B: «I was scared that they would say I was the only guilty person».
Other things Rudy mentioned that someone else undressed Meredith after he left, and it were R and A that must have washed Meredith's clothes. Someone came back after he left. Galati doesn't mention these things and IMO he should have.
Meredith's Phones
Personally I agree with the Appeal Court that the calls at 9:58 and 10pm taken together are suspicious activity. Galati makes the point that the phone activity doesn't really prove anything and that Meredith not calling back her parents could have other reasons. Here he also points out that the Appeal Court suddenly jumps from Rudy's 9-9:30 to 10:15 without explanation. I agree that the 10:13pm message on Meredith's phone doesn't prove anything since this doesn't require any human interaction yet this is used by the Appeal Court to prove the cut off point for the attack.
Equally unlikely is the hypothesis with respect to the 10:13 PM connection, made without human interaction, formulated solely to make the attack coincide with a time 10:15 PM different from that determined by the trial judgment.
Galati doesn't really mention it but the Appeal Courts reasoning about the 9:58 is really silly. The call not followed through at 8:56 must have been Meredith, and the call not followed through at 9:58 must have been somebody else because Meredith would never cut off a call. How is that logic?
The testimony of the 3 women
The Appeal Court rejected all of them because they couldn't tell the exact time, and the Appeal Court calls their testimony ambiguous. Galati is right to object to this. There is no confusion about the scream. Especially Capezalli was very specific about the scream, and Galati is clever to mention that Amanda mentioned screaming before anybody else did. However, he forgets to mention that Rudy also was very specific about this scream.
On a side note, even though the witnesses weren't looking at the clock when they got out of bed, the witness Monacchia was sure that she went to bed at 10PM. So even when she wasn't sure how long after 10PM she heard the scream, we at least know that it was sometime after 10PM which narrows down the time frame for the TOD.
Last but not least, Galati concludes with the objection that the Appeal Court not even bothered to look at the thanatological data. They don't even mention the coroner in their report which is unheard of in any murder case.