  We calculate the tension of $(p,q)$-strings in the warped deformed conifold
using the non-Abelian DBI action. In the large flux limit, we find exact
agreement with the recent expression obtained by Firouzjahi, Leblond and
Henry-Tye up to and including order $1/M^2$ terms if $q$ is also taken to be
large. Furthermore using the finite $q$ prescription for the symmetrised trace
operation we anticipate the most general expression for the tension valid for
any $(p,q)$. We find that even in this instance, corrections to the tension
scale as $1/M^2$ which is not consistent with simple Casimir scaling.
