Just so you know… LADA can also present without detectable antibodies at time of diagnosis, and it can (rarely) present without detectable antibodies ever. This latter category is called “Type 1b, or idiopathic diabetes.”
There are also a lot of folks that get diagnosed as Type 2, usually in middle age, and then show insulin deficiency and antibody presence years later. They are often (but not always) re-diagnosed as Type 1. Type 1b is strongly correlated with genetic factors, and is poorly (if at all) understood.
I think it is both safe and fair to say at this point that the whole “Type 1 or 2 diabetes” split is a total myth. There are far, far more types of diabetes under the sun than most people (including doctors) realize or understand. It’s probably why there is such variation in presentation, treatment, and responses even within “the same” diagnosis group.