I think tend to do a little bit of both. I work in a business where a lot of time I rely on other people to do their job right and many times unfortunately, they don't. I'm never afraid to take the blame when I mess something though. I've been known to publicly call myself out via company wide emails whether it's necessary or not. I ever tell you about the time I found a decommissioned M67 Delayed Frag grenade in the grass outside an elementary school?
I think where people go wrong is that they don't take ownership silently and just within themselves. I've known many people to make an attempt at ownership buy calling themselves out publically but it turns out they did that for the pity they thought they'd get.
I'm not saying you do that, just an observation. Ownership doesn't need an audience. In your case, your broadcast emails are more likely an acknowledgement and notification of an issue I suppose.
As for the grenade...yeah, it's interesting to see people's reaction to how heavy they can be.
That is a good point. I think I mostly do it to acknowledge the fact that I am fallible. In hopes that that will be remembered in the future. I also do it to humanize myself a little more. It's not that they hold me on a pedestal or anything, but, I think sometimes they think I am this uncaring automaton or something and it's important to own up when I know I messed up and made their jobs harder.
When people stand up and own a error or situation others think more of them especially when there's other around seeking to shift blame. Ownership has a lot of benefits, especially if followed by a rethink, new plan and action.