Kinda yes and kinda no. While the front end you’re using will necessarily request data from Twitter, which means there will be traffic generated, it’s bot traffic which is much less valuable.

But, as much as I agree with the “fuck Musk” sentiment, really it’s about your own well being. Twitter is a cesspit. Wallowing in a cesspit, whether physical or virtual, is bad for your health. Even if you aren’t in the official cesspit, just a pool filled with the same shit, it’s just as unhealthy.