Direct answer
CR2032 and CR2016 share diameter, voltage and chemistry, but 3.2 mm versus 1.6 mm means CR2032 is twice the nominal height. They are different physical sizes, not capacity grades of one interchangeable cell.
Both are 20 mm in diameter; heights are 3.2 mm and 1.6 mm. The physical envelopes differ (20 × 3.2 mm versus 20 × 1.6 mm). Do not force, stack or infer equivalence from a shared diameter or code pattern.
Do not infer acceptability from fit alone. The device maker’s complete code and current instructions remain authoritative.