Linux – Redirecting Output to ‘wget-log.1’

With -q option, wget itself should not output anything to either console nor the logfile specified by -o option, except for the case described by Michał. The logfile however will be created (if -o was supplied).

This however does not guarantee that no system daemons will notice the fact that wget was run - the network activity can be independently monitored by other tools.

It seems redirection is disabled at your wget, try specifying --max-redirect=2 or a higher number. You probably also want to specify --trust-server-names to allow wget to update the file name after redirection, otherwise the downloaded files will still be called download.