Among the 1,133 owner complaints naming this part, radiator hose is named in 11% of them, more than any other part.
Owners name the radiator hose most often in the same complaint, which is not proof that one caused the other. Ask the shop whether it checked the radiator hose too, so you are not quoted twice for one visit.
Data and chart by CalcScrape: Radiator Replacement Cost Calculator