So have a type-52 illuminate the target while the Sov fires in silence from a different place, and the 52's vls can better deal with threats from air/missiles?
Compared to the previous Sunburn missile which is the most advanced of its family, the YJ-12 equipped Sovremenny has a 400 to 500km kill range compared to like 200 to 240km before. That's double the range. So the 052D can provide outer air defense layer while the Sovs and 054A provide middle defense layer while the Sovremenny snipes sea born targets up to 500km range.
People have the illusion it takes radars to light up an enemy ship so it gets targeted with antiship missiles. That's only true if the target ship is in direct visual or radar horizon, like 40km at most. If you want to target something way beyond the horizon, its either tracked by signals bouncing the atmosphere either passively (target ship's own radar emissions) or actively (you send the signals to be bounce off the atmosphere). Or you can have aircraft or drones spot the target and relay the target coordinates to your ship which is set into the antiship missiles. Or have a satellite spot the target and relay the target coordinates to your ship. At this point, it has completely nothing to do with your search radars but instead a combination of your ESM, passive radar or directional location, datalinks to aircraft, satellite, or drone.
Now all that stuff doesn't require huge expensive radars, and the fitting to the refitted Sovremenny makes them equal to the 052D in terms of antiship killing ability except for range. The 052D's YJ-18 could have a range up to 600km or over. However the YJ-12 are full supersonic so it reaches its 450km range much faster at nearly 3x.
The 051B refit is even more potent because it carries 16 instead of 8 YJ-12, and I expect the 052B refits the same.