My music videos are not on itunes music match

iTunes Match is currently only for music, not videos. Whether you can redownload music videos will depend upon what country that you are in and whether they remain in your country's store.

Not exactly true. Purchased videos are synced, not videos you added from another source. Yes this is inconsistent.

iTunes Match is for music only, not music videos. Music videos (and films and TV programmes) may be available for redownloading from the cloud (whether you subscribe to iTunes Match or not) depending upon what country that you are in, and if they remain in your country's store.

iTunes in the cloud : http://support.apple.com/kb/HT5085