The 055 is essentially a Cruiser and will be used primarily as a Carrier Group Escort and therefore most of its 112 VLS cells are going to be filled with AAW missiles without a shadow of a doubt.
The 052D having only 64 VLS cells doesn't give you a large land attack missile load because AAW missiles will eat up most of the cells.
So you need something in between the 055 and the 052D, a sweet spot of some kind, something that has enough cells to comfortably carry missile loads for both AAW and land attack missions. Hence this requirement for a new mid-sized destroyer (~9000t).
A third destroyer class in addition to two existing destroyer classes will end up becoming more expensive than the 055. Do realize that the 055's cost curve has gone down after 8 ships. A smaller 9000 ton destroyer at the start of its production, first of two ships for example, can still end up being more expensive ship wise compared to the 055 when the 055 reaches its 16th ship.
The best reasons to justify a new destroyer class would be in the basis of cost effectiveness.
1. Be the replacement of the 052D. This will be the new light destroyer and the 052D line is ended.
I can imagine some ways to make it possible.
2. Namely the same size or slightly bigger than the 052D. A ship the size of the 052D can hold 80 missiles (64 + 16) in theory if you eliminate the deck real estate used for the Type 517/520 VHF radar array. I believe that its possible to make the VHF radar array redundant by using the 055's more powerful Type 346B radar instead of the 052D's 346A radar. Clearing the VHF array gives you more deck space for an addition 16 VLS cells.
3. Instead of four gas turbines, the propulsion would be two gas turbines and two diesels, with CODAG. Essentially an improved version of the 052D's power train.
4. I don't think 96 is needed. 80 would be enough to keep the size and cost down, and by then you have quad pack available for the VLS. Also, all of the 80 will be of the 9 meter length rather than having a 7/9 meter ratio. You have four banks of the VLS in front of the superstructure, and six banks of the VLS at the rear. Unlike the 055 where the VLS ends point port to starboard, the VLS front and end point fore and aft like on the 052D.
5. Less crew, more automation.
6. Use as much of the 055's parts and sensors as possible, to reduce cost, maintenance and logistics. This includes using the 055's fixed four panel X-band radar set and integrated mast with CEC. The resulting ship is essentially a mini 055 with 052D power train.