Lancets are reportedly reaching out to 100km+ nowadays. Meanwhile Zumwalt lost the 57mm Mk 110s in development and ended up with the considerably less capable 30mm Mk 46 Mod 2 instead, while DBR (aka SPY-3 + SPY-4) ended up with SPY-3 only and that having to fill in for SPY-4's search role.
Lancet isn't all that small. It isn't especially difficult to engage, especially over open sea.
The Mk.110s were indeed lost, as was DBR, and even AGS(and, as such, the whole mission); however, we were discussing the original concept.
Could vanilla Zumwalt, properly maintained ASUW LCS and Constellation class sealed Hormuz off from Iran? My answer is very likely yes. Iranian flotilla warfighting system can place unaffordable risks only for a non-adapted blue water navy, and even that just barely.
As such, the current situation is a pure failure of procurement for a long-anticipated problem.
Have you somehow missed the Shaheds impacting all over the mid-East and Ukraine? Plus the common border with Russia? Not to mention the existing Iranian order for Lancets?
They aren't small. Small drones are those that meaningfully pass under modern CIWS, over sea(which is harder).
Shahed/Harpy is in a small MALE weight/size class, really.
I'm not sure how wide the navigable channel in the strait is, but it's definitely under 21-22nm (Larak to the islands on the Omani side, or the Tunbs to Abu Musa - both Iranian, incidentally). And as noted, the Zumwalt CONOPS assumed it and the ARG would be that close inshore, if not closer, wherever in the world they were.
Yes. My idea is that you can expect normal enough AA engagement if your stand-off from land matches at least the 1980s engagement area for surface-hugging ASCM.
Which was often <5 miles-ish (and with good low observable properties, it isn't especially better nowadays) - and self-defense was still perfectly doable, proven on multiple occasions.
This was done against weapons more or less equal to modern Iranian ASCMs, but at defensive and sensor level far below modern standard.