The GFDL seems to prohibit that. Both verbatim and modified copies are supposed to include a full copy of the actual license text, not just a reference to it. See Sec. 2 para. 1 and Sec. 4 part H of the GFDL.
I was thinking of the new GFDL (when it is out), not the old one. See section 6a. [...]
6a applies to excerpts of less than 20k characters of text, which doesn't cover some articles, or of less than a minute of video. Images don't seem to be allowed as excerpts at all.
There is a reason why the D in FDL is for Documentation and not Digital, one should use a different license for videos and graphics.