Kornreich actually makes a pretty good argument, quite harsh and blunt and therefore hard for anyone fond of Israel to stomach, but still addressing the point spot on. However, with a major flaw. He deviates from the classic yeshivish response for refusing to serve in the army, namely, that by Torah learning we're actually the ones providing security for the Land, and instead evokes an argument from a rather logical based perspective, that we see no value in Jewish sovereignty over the Land, in fact we see it as a liability for Jews in Israel and all over the world, hence why we need not to be the ones tasked with upholding it, as long as the state has the capabilities to deter an existential threat on their own. That's basically the crux of his argument
here.
The issue though is that such an argument is quite contradictory to the way the ultra-orthodox world operates in Israel. Besides for the major State funds they consistently pursue and receive, they are time and again a deciding vote and factor in the formations of governments, a deciding vote on agenda whether it should be right or left and so on. So it's pretty out of place for people who are actively an integral and key part of a society to pull that card by saying we never wanted it and therefore we won't be part of it. That's why the yeshivish world is bound to the other excuse not to serve and contribute to the society they're being part of by insisting that they're actually serving in another way. The obvious shortcoming with this is the somewhat faulty assumption that a purely Torah based justification can be accepted by a largely secular non-believing population.