ServiceExceptionHandlers with more exception information

When I throw an HttpError like this:
throw new HttpError(HttpStatusCode.Unauthorized, "Invalid session token - please login again.");

or like this:
throw HttpError.MethodNotAllowed("Unable to return image of this type.");

It gets caught by the global ServiceExceptionHandlers. However the exception message does not have all the information:

Would it be possible to get this text along with a stack track so that error can be traced and logged?

ServiceStack.Core 5.1.0

That’s the Exception which gets passed to the callback, what’s the actual Exception Type?