Let $M$ be an Alexandrov space with $sec \geqslant 0$. Let $p$ and $q$ be points of shortest path $\gamma$ in $M$, that are not end point. Then the tangent cone can split as $C_p=L_p \times \mathbb{R}$. Where $L_p=\{x\in C_p;x \perp \gamma\}$.

The second variation says: "For any sequence $\varepsilon_n \to 0$, there is a subsequence $\{\epsilon_n\}\subset \{\varepsilon_n\}$ and the isometry (parallel transportation) $T: L_p \to L_q$ such that $$ |\exp_p(\epsilon_nx)\exp_q(\epsilon_n T(x))|\leqslant |pq|+o(\epsilon^2_n) $$ Where $x\in L_p$ is any vector.

My question: is $|\exp_p(x)\exp_q(T(x))|$ can be controlled by $|pq|?$ I think this is wrong, but I can't think of a counter example.