Estimation of Contrastive Divergence(CD)

[cong-g]

In Tutorial 8: Deep Energy-Based Generative Models, part of the CD is $𝔼_{q_\theta (x)}(\nabla_\theta E_\theta (x))$, but what the code is estimating seems to be $\nabla_\theta(𝔼_{q_\theta (x)}( E_\theta (x)))$ as shown in the screenshot

am I wrong or this doesn't make a huge difference when it comes to gradient estimation