The short answer
Your team learns how to handle failure by watching you. Right now they're learning to hide it. One honest 'I got that wrong' from you — said plainly, in the room — teaches more than any feedback policy ever could. That's the move.
You set a high bar, and that's not the problem. The problem is that the bar has quietly become about appearance, not growth. Research on feedback culture shows that how a leader receives and acknowledges failure shapes how the whole team treats feedback — whether people seek it out or dodge it. When the person at the top deflects, everyone downstream learns to deflect too. The standard you hold yourself to is real. What's missing is the safety valve: the honest moment where you say 'I missed that.'
Marcus Aurelius put it simply: if it is not true, do not speak it. The reframes, the minimising — they are small untruths. Not malicious, but still untruths. And they cost you something. They break the link between what you claim to value and what you actually model. Your purpose, as he'd say, should not bend under the pressure of looking good in the moment.
This week, find one recent moment where you fell short and didn't say so clearly. Name it to your team — not as a confession, just as a plain fact: 'I handled that poorly, here's what I'd do differently.' Short. No spin. Then stop talking. That single act will do more for your team's willingness to seek and act on feedback than anything else you could try.