To be fair, sometimes this is a security feature so that folks don't go off hating one individual moderator. I've seen this in games more often, but I imagine it works out here as well. It sucks for normal folks, but sometimes that's the way it works.
If they want to 'protect' the moderators they should use more neutral language focusing on the actions. You can easily say "This account has been x" instead of "We've x this account" or "x has been changed to reflect y" instead of "We've changed x to reflect y". It's less personal, but that's the point.
I think that works best; a moderator is / should be only a member that happens to be responsible for maintaining the site's user behaviour policy and tidiness of articles posted, and thus decisions shouldn't be an "I" or "we" thing, but "the site". Of course, that's an utopia and no amount of rules will cover every situation.
It may sound stupid, but it'd make me feel better if moderators still used "I" even if otherwise completely anonymous. Still add human touch and personal responsibility to the act even if there is no way to call some particular person out.
Well, yeah, I kind of get it, but still smells fishy somehow.
You still can be anonymous and say "I did something" now it just sounds like you are washing your hands and avoid being responsible.
OTOH, I was never a moderator of any kind, so I have no idea what problems they have to deal with.