Well, what I am saying is what you allow for - things may well have been left out by the Morning Advertiser too, just as we know that other papers did.
We know from the sources that Phillips was impressed by the abdominal flap cutting and even more impressed of the incisions performed to excise the uterus.
If, as you say, Baxter took his cue from Phillips when saying that there were no meaningless cuts, then we are left with a killer who according to Phillips cut totally deliberately throughout and who showed anatomical insights with every cut, the pinnacle being the cut/s that excised the uterus.
Personally, I think such a thing could very well lead a medico to conclude that the killer was medically skilled, not least since he adds some words about how he thinks that the killer would have evinced even greater skill if he had not been in haste.
The inference becomes one of an anatomically skilled man who only gave a less skilled impression on account of doing a super-quick hysterectomy.
Both Chapman and Eddowes were cut around the navel.