Check the bottle maker's instructions for each component. An insulated body, seal and lid can have different dishwasher permissions and cleaning arrangements.
Understanding this situation
A closed lid can prevent water reaching internal surfaces, while small removable parts need secure approved placement if machine washing is permitted. The outer steel appearance does not confirm suitability for the whole product.
A useful next step
Disassemble only as directed and use the prescribed care method. Do not assume a clean outside means the drinking passage is clean. Use another appropriate method for components that cannot be reached or secured properly in the dishwasher.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.