Jarno, some day not so long ago, you managed to ban more than 30 cheaters. This kinda never happens on this server, not because there are not enough admins online but because there are not so many cheaters on AX after all .. what is lag often looks like a speedhack or something dodgy.. people with (really) low fps can also give this feeling.
Take your time when you ban someone, there's no reason to be in a hurry and it can avoid to make a mistake. Just because you see ONE weird thing when spectating doesn't mean he's cheating, but if he does this several times then you may be right.
Also, don't refer yourself to the times references between players, it's not accurate enough, consider it just like a hint and go spectate the concerned player.
It would be really great if a nice moviemaker (if you see who I'm talking about
) could make a movie explaining how to bust/ban cheaters to new or unexperienced admins.