Setting the Content-Type header explicitly allows browsers to know what
the type of the content is. Otherwise, they have to guess the type from
the content itself, which could lead to unpredictable behavior, and
increases CPU usage.
Not setting the Content-Type despite writing a body may also trigger
unwanted warnings in user middleware, and make it more difficult to
resolve valid issues where the user forgets to set Content-Type in
some situations where it should be set.
There is some precedent for doing this in http.FileServer, which
sets "Content-Type" to "text/html; charset=utf-8" before writing
<pre><a href=...></a></pre> HTML.