After my diagnosis (at age 9) my honeymoon lasted all of three months. It was probably very weak compared to what people with LADA get, as I was never able to stop taking insulin, but I was able to lower the dose and had more lows during that period. I still had highs and lows on a regular basis during those months, but compared to after the honeymoon ended, things were very stable. (This was back in R and NPH days, so "stable" is relative.)
All Type 1s have fluctuations in their blood sugar ... even if they were caused partly by a bit of insulin production, that same insulin production can increase during high BG and decrease during low BG, which I think would act as an overall buffer. I've sometimes wondered if a tiny bit of insulin production is one of the factors that accounts for the fact that some Type 1s have relatively stable blood sugars while others have blood sugars that have wide and/or rapid changes.