I think if the op was talking about non-monetary costs.
But if we're limiting this to monetary costs only, I believe you're right. I saw a similar study from the UK circa ~2008ish that compared long term smoker/obese/healthy medical costs, and healthy people are indeed the most expensive (mostly because of tremendous end of life care costs).
Edit: I dug around a bit and found the study I was thinking of. It was actually a study on obesity (also not done by the UK), but used (non-obese) smokers as a group for comparison.
Link to article: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2225430/
See Table 1 for lifetime medical costs.