No. Filling materials can impose distinct drying restrictions. The cover's fibre content is insufficient to decide whether the complete cushion belongs in the dryer.
Understanding this situation
A removable cover may be washable and dryable while the insert is not. Processing both together can therefore create damage or safety concerns that a gentle programme does not automatically prevent.
A useful next step
Check the complete product instructions and separate only the parts the maker permits. Keep unsuitable or uncertain foam items out of tumble drying. Stop appliance use if material deteriorates, melts or produces an unexpected smell.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.