I looked through the api but I can't find if the deletebatch method has limits.
https://dropbox.github.io/dropbox-sdk-obj-c/api-docs/latest/Classes/DBFILESUserAuthRoutes.html#/c:objc(cs)DBFILESUserAuthRoutes(im)batchUploadFiles:queue:progressBlock:responseBlock:
Has the team replied back?
I tried deleting about 1400 files, and it seems that they can be deleted without any problem.
At least deleteBatch: doesn't seem to have a limit of 1000 deletes.
However, when I use deleteBatchCheck: to wait for all deletions to finish, it seems to take more than 10 minutes to finish in my environment.