No, Burkes don't do what 052D/055 do in terms of anti-ship. Here's a comparison -
Anti-ship - Nimitz/Ford ~ 055/052D
Anti-aircraft - Burke ~ 003/052D/054A/054B
Anti-sub - 054A/054B
Burke is comparable to 052D, both are do-everything ships. But Burke abandoned anti-ship to get more VLS to do more anti-air.
Nimitz/Ford - 001(A)/003 - carrier aviation(reconnaissance/domain control; anti-air, anti-surface, land strike);
Burke - 052D/055 - Destroyers(fleet combatants, aaw/asw/asuw);
Constellation - 054a/b - frigates(secondary/non-fleet missions).
All Burke VLS are single-length VLS(strike cells); moreover, their high number(96) is specifically a result of land strike mission (cruiser replacement).
AAW mission by itself doesn't need anywhere near this many.
To "just" carry ASBMs around surface ships is a weird idea - it's visible and vulnerable. Surface ships are better coordinated, sure, but it matters when you're doing coordinated distributed salvoes, and this is Soviet/Russian playbook.
The range of SM-6 is merely ~ 300km, if it comes that close Bruke will already be in serious danger.
Mk.41 is classical but still too small, if not then why PowerPointed DDG(X) are planning large VLS to insert something more?
AA range(and, strictly speaking, way more than 300
). It's a range where SM-6 still ensures given Pk against a normal set of air targets in given conditions(EW, target maneuver).
The range against surface targets on the ballistic trajectory is well over twice that and perhaps can reach 1000km with the new 21" booster. Seeker head is fully capable of surviving reentry heating&filtering out ships against sea surface even when falling down.
DDG(X) goes for the same large caliber payload modules Virginias and Zumwalts do - to do theater strike.
This will indeed turn them into a sort of reincarnation of Soviet missile cruisers with their huge, 6-8t
kamikaze planes "missiles". Irony.
Ship presence is the basis for all sea superiority capability, if all ships got sunk, you then argue nothing.
Nope, it's sea denial.
Even removing all enemy ships from a given part of the ocean won't help you ensure a safe passage of a single Junk - because not only your side can play sea denial and strike.
You
need to not just sink the enemy (you don't really care about him at all if it isn't around you when you do your operations), but to project your presence in such a way that you can use the sea for your benefit. This is "command of the seas".
This is the reason why we need specifically surface ships - as those (1)interact with both airspace and depth of the sea, and (2)travel together with other surface assets(landing, merchant, whatever), which just happen to be the normal way we use the sea.