Only if it's their own "other", I feel like being able to remove anything would lead to some chaos and carnage which may be an interesting experiment in itself.
Actually I remember a really long time ago someone saying that they wanted to run an experiment where they had this open forum where anyone basically had some level of admin/moderator privileges and could edit and delete any post at will and whether it would actually be chaos and carnage or if people would actually not be dickheads.
I seem to remember there was some discussion about whether or not having some kind of edit history visible would moderate behaviour (I just don't know whether that discussion was related to that idea).
Sadly I don't think the person who came up with the idea actually ran that experiment.
I vaguely remember there being one here too where someone made some account and posted the posting key publicly for it to see what if anything people would post if they could post randomly/anonymously.