In typical TypeScript/Python, you don't need to worry about memory allocation. At all.
If you're writing any non-trivial Rust application, you're quickly going to have to learn a lot of concepts regarding memory, and your code will reflect that.
Now, if your application must be high-performance then Rust is a no-brainer. Rust is much better than the alternative (probably C++). But, most web applications don't need to be high-performance, and it would be better to use a language that is easier to learn and write.