Yes, the demo can only record what you see on you screen, so.., if you want to record what other player does you need to go spect.
in console:
/playerlist: give you a list of all players in the server, and a number for each one.
/follow number: will follow the player number.
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Because in some servers there is only 1 min. spectator time ( kick after if didn't join 1 of the teams ) & you know sometimes to go to spectate is retarded .
The Hack might will suspect you and turn off temporary the hack ..
(in my opinon)going to the bathroom, celphone, going for a beer is not retarded, and all those things usually take more than a minute.. (specially if you are a woman
) and going spect instead of beeing afk is a good behavior in any server, not retarded in any way.
If you are geting kicked after a minute because of beeing spect you should look for another place to play (there are good public servers in all continents), good servers usualy have a forum where you can upload cheater's demos to admins ban them,
to watch a demo just double click on the demo's menu, they are by date
/r_shownormals 1 will help while watching the demo.