No. Footwear can contain adhesives, foam, soles and reinforcements with different heat and movement limits. A machine-washable claim does not necessarily extend to tumble drying.
Understanding this situation
The appliance may also restrict footwear or require a particular accessory that is not interchangeable with one from a separate dryer. Improvised racks or loose heavy shoes can cause damage.
A useful next step
Use only a method explicitly permitted by both sets of instructions. If suitability is unclear, follow an appropriate alternative care route. Do not test with a short hot cycle or interpret a banging shoe as an ordinary appliance operating noise.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.