Well, computing science studies programming paradigms; so defining them and analyzing what makes them suitable for what purposes is pretty much within its scope.
As I said above, it may very well be that the best usage for Turing machines is using them in mathematical proofs; where the efficiency of the computation is not a concern.
As I said above, it may very well be that the best usage for Turing machines is using them in mathematical proofs; where the efficiency of the computation is not a concern.