> I am waiting for the era when using passkeys is not depending from some big tech company.

You can choose any credential manager you want to store your passkeys.

The maker of the credential manager is still a "big tech company", and there is still lock-in. Before I ever use any passkey solution, I would need to be guaranteed the ability to export and backup my passkeys and migrate them wherever I want.

My expectations for how long I intend to be alive and using the internet is much longer than my expectations for the continued operation and service of any particular passkey management software.

I already had to jump ship from LastPass after they were hacked. Imagine if they hadn't allowed me to migrate my passwords.