The best thing about curl is that developer tools of browsers (firefox for example) have a convenient "Copy as curl" feature that mimics the web request. The reason there isn't a "Copy as wget" option, I think, is the level of control that curl allows so the request can be tailored to exactly mimic the browser.

But when you want to recursively download a website, of course, nothing better than wget. curl doesn't support that, and you'll need to parse and fetch the urls recursively yourself with a script.