Yes. When there is a theft or damage, the fixed accessories that are included in the insured limit are covered. The accessories have to be firmly fixed to the bike to be insured. Portable bike related accessories (e.g. bike computers and/or navigation equipment), which are easily removable, are excluded from the coverage in case of theft.
The wheels, tires or not insured accessories are not covered if they are stolen separately.
You are not sure about your insured limit? You can check this FAQ or contact us.