The RFC says the content-length
header is optional ("..Applications SHOULD use this field...").
From what I can gather if its not included then the client will not know how much data to expect, therefore will not be able to show a determinate progress bar when downloading the body (i.e. the top bar instead of the bottom).
Are there any other side effects or bugs that arise from omitting this header?
I think your implicit question is "How does a client detect the end of an HTTP message?". See RFC 7230 - HTTP/1.1 Message Syntax and Routing - Message Body Length:
The length of a message body is determined by one of the following
(in order of precedence):
Any response to a HEAD request and any response with a 1xx
(Informational), 204 (No Content), or 304 (Not Modified) status
code is always terminated by the first empty line after the
header fields, regardless of the header fields present in the
message, and thus cannot contain a message body.
Any 2xx (Successful) response to a CONNECT request implies that
the connection will become a tunnel immediately after the empty
line that concludes the header fields. A client MUST ignore any
Content-Length or Transfer-Encoding header fields received in
such a message.
If a Transfer-Encoding header field is present and the chunked
transfer coding (Section 4.1) is the final encoding, the message
body length is determined by reading and decoding the chunked
data until the transfer coding indicates the data is complete.
If a Transfer-Encoding header field is present in a response and
the chunked transfer coding is not the final encoding, the
message body length is determined by reading the connection until
it is closed by the server. If a Transfer-Encoding header field
is present in a request and the chunked transfer coding is not
the final encoding, the message body length cannot be determined
reliably; the server MUST respond with the 400 (Bad Request)
status code and then close the connection.
If a message is received with both a Transfer-Encoding and a
Content-Length header field, the Transfer-Encoding overrides the
Content-Length. Such a message might indicate an attempt to
perform request smuggling (Section 9.5) or response splitting
(Section 9.4) and ought to be handled as an error. A sender MUST
remove the received Content-Length field prior to forwarding such
a message downstream.
If a message is received without Transfer-Encoding and with
either multiple Content-Length header fields having differing
field-values or a single Content-Length header field having an
invalid value, then the message framing is invalid and the
recipient MUST treat it as an unrecoverable error. If this is a
request message, the server MUST respond with a 400 (Bad Request)
status code and then close the connection. If this is a response
message received by a proxy, the proxy MUST close the connection
to the server, discard the received response, and send a 502 (Bad
Gateway) response to the client. If this is a response message
received by a user agent, the user agent MUST close the
connection to the server and discard the received response.
If a valid Content-Length header field is present without
Transfer-Encoding, its decimal value defines the expected message
body length in octets. If the sender closes the connection or
the recipient times out before the indicated number of octets are
received, the recipient MUST consider the message to be
incomplete and close the connection.
If this is a request message and none of the above are true, then
the message body length is zero (no message body is present).
Otherwise, this is a response message without a declared message
body length, so the message body length is determined by the
number of octets received prior to the server closing the
connection.
When the server omits the content-length header, it has to use one of the other mechanisms to indicate the end of the message.
So to answer your question: scenarios 3 (chunking) and 7 (reading until the server closes the connection) are the ones where the client doesn't know the length on beforehand.