After observing a similar pattern at my last startup, I thought it might be a good idea to intentionally screw up something minor. Then we could apologize for it like this and maybe offer some small reward to make up for it.
My theory was that it would endear our customers to us that much more.
I still haven't tested that theory, but I'd really like to some day.
You're really likely to screwup someday, somehow unintentionally anyhow. Even if your the nice guy(company) that takes responsibility for your actions, they'll still go somewhere else if you screw up too much, so don't try to up your screw up rate on purpose!
My theory was that it would endear our customers to us that much more.
I still haven't tested that theory, but I'd really like to some day.