尝试DateTime使用专门指定格式IsoDateTimeConverter，然后将其传递给JsonConvert.DeserializeObject<>()方法。
...
var json = Request.RequestContext.HttpContext.Request.Params["EoiDraftModel"];
var format = "dd/MM/yyyy"; // your datetime format
var dateTimeConverter = new IsoDateTimeConverter { DateTimeFormat = format };
var ld = JsonConvert.DeserializeObject<EoiDraftviewmodel>(json, dateTimeConverter);
...
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