Modern frigates tend to displace between 4000-7000tons while most destroyers are 8700+. That puts the 052D more in frigate size.
European "frigates" displace on the higher end of that range, and really aren't frigates at all. The nomenclature of "frigate" vs "destroyer" vs "cruiser" has been more or less totally upended for non-military, i.e. political/public perception/financial, reasons. A perfect example is the Alvaro de Bazan, one of my favorite European designs. The original Spanish designers call them "frigates", while the Australians who will be purchasing an essentially identical version are going to call them "destroyers".
Frigates tend to be more focused towards individual tasks while destroyers are all around ships. 052D has a very strong ASuW salvo and good AAW, but it’s ASW is lacking. It also doesn’t use the 055s dual band radar, since it is not primarily designed to defend high value ships.
Wrong. European "frigates" are frequently the only major surface combatants of their navies, and are designed to do everything, including ASW, ASuW, and AAW, and sometimes even serve as C^3 nodes like cruisers.
But it wouldn’t make sense to send 64 VLS ships against 96 VLS ships in a slugging match.
The cost of a 052D is almost certainly less than half that of a Burke, which itself comes in at ~$1.9 billion each. I will pit 2 052Ds against one Burke any day of the week. Even if their cost is 2/3 that of a Burke, I will take 3 052Ds vs 2 Arleigh Burkes any day of the week. Not only do you get less eggs in one basket but you also have greater area coverage for the purposes of AAW and ASW.
I don’t see the 055 being a flagship. The US has 20 Ticonderoga for 10 carriers and 10 amphib ships. China will have at least 8 055s for 2 carriers and maybe 1-2 amphib ships. That looks more like general escort ship.
Wrong again. China will probably have 6-7 carriers in the long run, and already has put 6 LPDs in the water, and is planning on building a whole new class of LHDs. So yeah, the 055 will be a flagship type of surface combatant. And actually, it would be such even if China had 0 carriers and 0 amphibious ships, because that's what it's designed to do.
Frigates are defined by being more focused on a single role. 052Ds are primarily anti surface ships that happen to have AEGIS level sensors, but does not have the sheer number of AAW missiles to actually provide AEGIS level cover.
Nope. Boy have you got this one wrong. Not only are frigates frequently multirole (see the European "frigates"), but the 052D is actually primarily AAW, as destroyers typically are, with secondary ASW and ASuW roles. Not only that, to confuse you even more the British Daring class "destroyer" has only 48 VLS cells, but I don't see you having problems with this ship being called a destroyer despite its having even less VLS cells than the 052D. It also has no VDS/TAS that is vital for ASW work and at least half the ships in the class don't have any ASuW capability at all.
052Ds can give cover for 054s on sub hunting missions and chase away enemy frigates. But covering a high priority target such as a carrier...? Sending 3 052Ds against 3 Burkes seem like a foregone conclusion. Especially because there are 2-3 Burkes for every 052.
This is a nonsensical comparison. If we are comparing using cost basis, this comparison is even more nonsensical. And of course to top it all off you have utterly failed to account for the tyranny of distance. Only 60% of the USN is deployed to the Pacific Command (oh my bad, the "Indo-Pacific" Command), and most of those ships are deployed to Hawaii or the West Coast of the CONUS. Only a fraction of a fraction of the USN is actually in the Western Pacific theater. This is the price you have to pay to be the world's policeman.