Not necessarily. A cotton item can include trims, prints, elastic or finishes that restrict its drying method. The complete garment label matters more than the main fibre name.
Understanding this situation
Programme capacity and intended dryness also vary. A densely padded cotton-covered item is not the same load as ordinary cotton shirts, even if the material descriptions overlap.
A useful next step
Check the whole item's care instructions and the programme table. Separate pieces with incompatible requirements. If damage occurs, describe the construction and settings rather than treating the word cotton as proof that the selected programme was suitable.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.