So if I use this method, I lose the flexibility of “save” method, I must determine when it’s an insert or update and I can’t use the variable “webix_operation” on server. There 's no possibility to get callback response with dataprocessor ?
Yep, you need to choose, are you using the default data saving functionality, where data is added to the list first and only after that is sent to a server-side. Or you need to have a custom data saving logic, where data is added to the list only after confirmation from the server side.
Default data saving is “optimistic” it shows the newly added record before it really saved in DataBase, and allows you to define a error handler, so if record was not saved, you can show some message to the user, or delete the wrong record.