No airport could possibly function with a requirement to check the runway between every departure.
OK I take good notice
So as it is commercially impossible and thus for economic reasons there is a general agreement to allow aircraft taking off even with objects on the runway that could cause a serious accident
From a commercial point of view it is indeed a good point of raisonement .. since the "Concorde case" occurs rarely and therefore it is profitable in terms of insurance costs that could result (in case of "bad luck")
Safety first as usual .. with "luck added"