This seems like a valuable utility for concealing writing style, though I feel like the provided example fails to illustrate the rest of the stated goal of the project, which is to "prevent biases, ensuring that the content is judged solely on its merits rather than on preconceived notions about the writer" and "enhance objectivity, allowing ideas to be received more universally".
The example given is:
You: This is a demo of TextCloak!!!
Model: "Hey, I just wanted to share something cool with you guys. Check out this thing called TextCloak - it's pretty neat!"
The model here is injecting bias that wasn't present in the input (claims it is cool and neat) and adds pointlessly gendered words (you guys) and changes the tone drastically (from a more technical tone to a playful social-media style). These kinds of changes and additions are actually increasing the likelihood that a reader will form preconceived notions about the writer. (In this case, the writer ends up sounding socially frivolous and oblivious compared to the already neutral input text.)
This tool would be significantly more useful if it detected and preserved the tone and informational intent of input text.