Why is it better? More integration capabilities. You're not limited to the webpage and app, you can use it anywhere you want. Not constantly kicking me out to log in again every few days (their web does this). The ability to select the model and temperature (a measure of how creative the LLM is). Also the default model seems to be much more recent.
And the price. If you use it sparingly you might be paying as little as 20 cents a month instead of 20 dollars. Not exaggerating but it depends on the size of questions and responses. But really to make it cost as much as that 20$ per month with the API you really have to go hell for leather with it.