No. Lacan and I think along very different lines. Lacan had a pet rat called Lucien who co-authored many of the key Lacanian texts, or so the story goes, whereas I rarely consult my cats. I admit that this is because my cats would probably tell me to whistle if I asked for their input, but that is another matter. Lacan’s rat had a formidable brain, quick paws and a strong competitive streak. It’s a shame. If Lacan had been more firm with his rat I believe psychoanalysis would have gained, greatly.
My ideas about mirrors are very different from Lacan’s. For me there are no stages, only mirrors.