Somehow a consensus should be found as to what sanctions the moderators should impose in such cases, and these should, in my opinion, be uniform. I see the individual scope of the moderators only in the decision whether AFTER a move an "ouch" or otherwise a spontaneous remark is tolerable or not. And if that were handled absolutely restrictively, we would have a dead silence because none of the viewers would dare to say anything else. I think that would be a pity, because the comments can also be invigorating, as long as they don't give hints on the further course of the game.
Yeah it's a fine line. We don't want to discourage people from watching and commenting responsibly in games. I know some people prefer outright silence, and if someone asked me to stop talking, I would. But generally the vast majority of the real time chat is fine and does not compromise the integrity of the game. It shouldn't really need to be clarified what is and isn't acceptable. Unfortunately we do need the clarification, since some people don't think about what they are posting before they click submit.

"4) All moderators are asked to not mod games for players on probabation."
This is difficult to put into action, since it requires all mods to know who is on probabtion. Also, it unduly punishes an opponent who might require the game to be modded by a third party.
I think points 1, 2 and 3 are definitely workable. I would also propose that a major infraction should be voted upon by the committee and not the sole decsion of a mod. The mod should simply issue a warning and refer the incident.